{"id":3443,"date":"2022-02-07T17:14:38","date_gmt":"2022-02-07T17:14:38","guid":{"rendered":"https:\/\/oryxlearning.com\/company\/?page_id=3443"},"modified":"2022-02-07T17:14:38","modified_gmt":"2022-02-07T17:14:38","slug":"x-on-a-number-line","status":"publish","type":"page","link":"https:\/\/oryxlearning.com\/learn\/x-on-a-number-line\/","title":{"rendered":"X on a Number Line"},"content":{"rendered":"[vc_section full_width=”stretch_row” content_placement=”middle” css=”.vc_custom_1633364343825{background-image: url(https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/10\/10-min-scaled.jpg?id=2121) !important;background-position: center !important;background-repeat: no-repeat !important;background-size: cover !important;}” el_id=”bg-sec”][vc_row full_width=”stretch_row_content” el_class=”faaaq”][vc_column width=”1\/12″][\/vc_column][vc_column width=”1\/2″][vc_row_inner content_placement=”middle” el_class=”topheadingg”][vc_column_inner width=”1\/6″][vc_single_image image=”2283″ img_size=”full”][\/vc_column_inner][vc_column_inner width=”5\/6″][vc_column_text]\n<h5>X on a Number Line<\/h5>\n[\/vc_column_text][\/vc_column_inner][\/vc_row_inner][vc_column_text el_class=”headingnew”]Concept[\/vc_column_text][vc_column_text]Solve an inequality to find the value of x on the number line.[\/vc_column_text][vc_column_text el_class=”headingnew”]Rules[\/vc_column_text][vc_column_text]1. Use the <a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/solve-inequalties-by-addition-and-subtraction-and-graph-the-solution-\">properties of inequalities<\/a> to isolate the variable on one side of the inequality.<br \/>\n2. Simplify the other side of the inequality.<br \/>\n3. If the inequality is < or >, put an open circle on the number line at the indicated value. If the inequality is \u2264 or \u2265, put a filled circle on the number line at the indicated value.<br \/>\n4. Draw a ray in the appropriate direction indicated by the inequality symbol. If < or \u2264, then arrow goes to the left, if > or \u2265, then arrow goes to the right.[\/vc_column_text][vc_column_text el_class=”headingnew”]Example[\/vc_column_text][vc_column_text]<strong><span style=\"color: #16a085;\">Solve the inequality and graph the solution.<\/span><\/strong><br \/>\n<img src=\"https:\/\/latex.codecogs.com\/svg.latex?\\fn_phv&space;6-8x>&space;22\" alt=\"\\fn_phv 6-8x> 22\" align=\"absmiddle\" \/><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/solve-inequalties-by-addition-and-subtraction-and-graph-the-solution-\"><img loading=\"lazy\" class=\"alignnone \" style=\"margin-top: 10px; margin-bottom: 0px;\" src=\"https:\/\/cdn.oryxlearning.com\/media_assets\/1638189212851.svg\" width=\"319\" height=\"45\" \/><\/a><br \/>\n[\/vc_column_text][vc_column_text el_class=”headingnew”]Solution[\/vc_column_text][vc_column_text]<img src=\"https:\/\/latex.codecogs.com\/svg.latex?\\fn_phv&space;6-8x>&space;22\" alt=\"\\fn_phv 6-8x> 22\" align=\"absmiddle\" \/><br \/>\n<img src=\"https:\/\/latex.codecogs.com\/svg.latex?\\fn_phv&space;6-8x-6>&space;22-6\" alt=\"\\fn_phv 6-8x-6> 22-6\" align=\"absmiddle\" \/><br \/>\n<img src=\"https:\/\/latex.codecogs.com\/svg.latex?\\fn_phv&space;-8x>&space;16\" alt=\"\\fn_phv -8x> 16\" align=\"absmiddle\" \/><br \/>\n<img style=\"margin-top: 10px; margin-bottom: 10px;\" src=\"https:\/\/latex.codecogs.com\/svg.latex?\\fn_phv&space;\\frac{-8x}{-8}<&space;\\frac{16}{-8}\" alt=\"\\fn_phv \\frac{-8x}{-8}< \\frac{16}{-8}\" align=\"absmiddle\" \/><br \/>\n<img src=\"https:\/\/latex.codecogs.com\/svg.latex?\\fn_phv&space;x<&space;-2\" alt=\"\\fn_phv x< -2\" align=\"absmiddle\" \/><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/solve-two-step-inequalities-and-graph-the-solution\"><img loading=\"lazy\" class=\"alignnone \" style=\"margin-top: 10px; margin-bottom: 10px;\" src=\"https:\/\/cdn.oryxlearning.com\/media_assets\/1638189221762.svg\" width=\"310\" height=\"43\" \/><\/a><br \/>\n<span style=\"color: red;\"><img src=\"https:\/\/latex.codecogs.com\/gif.latex?\\fn_phv&space;{\\color{Red}&space;x<-2}\" alt=\"\\fn_phv {\\color{Red} x<-2}\" align=\"absmiddle\" \/> indicates all values less than <img src=\"https:\/\/latex.codecogs.com\/svg.latex?\\fn_phv&space;{\\color{Red}&space;-2}\" alt=\"\\fn_phv {\\color{Red} -2}\" align=\"absmiddle\" \/>.<\/span><br \/>\n[\/vc_column_text][vc_column_text el_class=”headingnew”]Practice X on a Number Line[\/vc_column_text][vc_row_inner el_class=”boxxborder”][vc_column_inner][vc_column_text]\n<h5 style=\"margin-bottom: 10px;\">Practice Problem 1<\/h5>\n<p><strong><span style=\"color: #16a085;\">Solve the inequality and graph the solution.<\/span><\/strong><br \/>\n<img src=\"https:\/\/latex.codecogs.com\/svg.latex?\\fn_phv&space;3+x\\leq&space;-4\" alt=\"\\fn_phv 3+x\\leq -4\" align=\"absmiddle\" \/><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/solve-inequalties-by-addition-and-subtraction-and-graph-the-solution-\"><img loading=\"lazy\" class=\"alignnone \" style=\"margin-top: 10px; margin-bottom: 0px;\" src=\"https:\/\/cdn.oryxlearning.com\/media_assets\/1638189212851.svg\" width=\"319\" height=\"45\" \/><\/a><br \/>\n[\/vc_column_text][vc_single_image image=”2159″ img_size=”full” alignment=”right” onclick=”custom_link” link=”https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/solve-inequalties-by-addition-and-subtraction-and-graph-the-solution-“][\/vc_column_inner][\/vc_row_inner][vc_empty_space height=”30px”][vc_row_inner el_class=”boxxborder”][vc_column_inner][vc_column_text]\n<h5 style=\"margin-bottom: 10px;\">Practice Problem 2<\/h5>\n<p><strong><span style=\"color: #16a085;\">Solve the inequality and graph the solution.<\/span><\/strong><br \/>\n<img style=\"margin-top: 10px; margin-bottom: 10px;\" src=\"https:\/\/latex.codecogs.com\/svg.latex?\\fn_phv&space;\\frac{x}{8}>&space;-\\frac{3}{5}\" alt=\"\\fn_phv \\frac{x}{8}> -\\frac{3}{5}\" align=\"absmiddle\" \/><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/solve-inequalities-by-multiplication-and-division-and-graph-the-solution-\"><img loading=\"lazy\" class=\"alignnone wp-image-3461 size-full\" style=\"margin-top: 10px;\" src=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/10\/3-18.png\" alt=\"\" width=\"344\" height=\"58\" srcset=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/10\/3-18.png 344w, https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/10\/3-18-300x51.png 300w\" sizes=\"(max-width: 344px) 100vw, 344px\" \/><\/a>[\/vc_column_text][vc_single_image image=”2159″ img_size=”full” alignment=”right” onclick=”custom_link” link=”https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/solve-inequalities-by-multiplication-and-division-and-graph-the-solution-“][\/vc_column_inner][\/vc_row_inner][vc_empty_space height=”30px”][vc_row_inner el_class=”boxxborder”][vc_column_inner][vc_column_text]\n<h5 style=\"margin-bottom: 10px;\">Practice Problem 3<\/h5>\n<p><strong><span style=\"color: #16a085;\">Which of the solutions makes the inequality true?<\/span><\/strong><br \/>\n<img src=\"https:\/\/latex.codecogs.com\/svg.latex?\\fn_phv&space;5x-2\\geq&space;18\" alt=\"\\fn_phv 5x-2\\geq 18\" align=\"absmiddle\" \/><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/solve-two-step-inequalities-and-graph-the-solution\"><img loading=\"lazy\" class=\"alignnone wp-image-3463 size-full\" style=\"margin-top: 10px;\" src=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/10\/14-6.png\" alt=\"\" width=\"300\" height=\"46\" \/><\/a>[\/vc_column_text][vc_single_image image=”2159″ img_size=”full” alignment=”right” onclick=”custom_link” link=”https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/solve-two-step-inequalities-and-graph-the-solution”][\/vc_column_inner][\/vc_row_inner][vc_empty_space height=”30px”][vc_row_inner el_class=”boxxborder”][vc_column_inner][vc_column_text]\n<h5 style=\"margin-bottom: 10px;\">Practice Problem 4<\/h5>\n<p><strong><span style=\"color: #16a085;\">Alison is x years old. Her brother Tom is 3 times as old as Alison was 4 years ago. Tom has no more than 29 years old.<\/span><\/strong><br \/>\n<strong>Select the correct inequality that represents the solution.<\/strong><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/solve-two-step-inequalities-and-graph-the-solution\"><img loading=\"lazy\" class=\"alignnone wp-image-3465 size-full\" style=\"margin-top: 10px;\" src=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/10\/4-13.png\" alt=\"\" width=\"286\" height=\"140\" \/><\/a>[\/vc_column_text][vc_single_image image=”2159″ img_size=”full” alignment=”right” onclick=”custom_link” link=”https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/solve-two-step-inequalities-and-graph-the-solution”][\/vc_column_inner][\/vc_row_inner][vc_empty_space height=”30px”][\/vc_column][vc_column width=”1\/3″ css=”.vc_custom_1633369011398{margin-bottom: 50px !important;}”][vc_row_inner el_class=”stickynotee”][vc_column_inner][vc_single_image image=”2265″ img_size=”full” alignment=”center” css_animation=”fadeIn” css=”.vc_custom_1633509989314{border-radius: 10px !important;}” el_class=”stickypin”][vc_column_text]<strong>Inequality<\/strong> \u2013 a mathematical sentence that compares quantities.<\/p>\n<p><strong>Two-step inequality<\/strong> \u2013 an inequality that involves two operations<\/p>\n<p><strong>Addition Property of Inequality<\/strong> \u2013 when you add the same number to both sides of an inequality, the inequality remains true.<\/p>\n<p><strong>Subtraction Property of Inequality<\/strong> \u2013 when you subtract the same number from both sides of an inequality, the inequality remains true.<\/p>\n<p><strong>Multiplication Property of Inequality<\/strong> \u2013 when you multiply by the same number on both sides of an inequality, the inequality remains true.<\/p>\n<p><strong>Division Property of Inequality<\/strong> \u2013 when you divide by the same number on both sides of an inequality, the inequality remains true.[\/vc_column_text][\/vc_column_inner][\/vc_row_inner][vc_column_text el_class=”boxxborder2″]<span style=\"color: #ed5600;\"><strong>Pre-requisite Skills<\/strong><\/span><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/5th-grade\/solve-algebraic-equations-addition-and-subtraction\"><span style=\"color: #ed5600;\">Solve Algebraic Equations – Addition and Subtraction<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/5th-grade\/solve-algebraic-equations-multiplication-and-division\"><span style=\"color: #ed5600;\">Solve Algebraic Equations – Multiplication and Division<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/6th-grade\/algebra-solving-equations\"><span style=\"color: #ed5600;\">Algebra: Solving Equations<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/6th-grade\/add-and-subtract-decimals-6.3.6\"><span style=\"color: #ed5600;\">Add and Subtract Decimals<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/6th-grade\/add-and-subtract-fractions-with-unlike-denominators\"><span style=\"color: #ed5600;\">Add and Subtract Fractions with Unlike Denominators<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/6th-grade\/multiply-fractions\"><span style=\"color: #ed5600;\">Multiply Fractions<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/6th-grade\/divide-fractions\"><span style=\"color: #ed5600;\">Divide Fractions<\/span><\/a>[\/vc_column_text][vc_column_text el_class=”boxxborder2″ css=”.vc_custom_1635255310669{border-top-width: 6px !important;border-right-width: 6px !important;border-bottom-width: 6px !important;border-left-width: 6px !important;background-position: center !important;background-repeat: no-repeat !important;background-size: contain !important;border-left-color: #333399 !important;border-left-style: solid !important;border-right-color: #333399 !important;border-right-style: solid !important;border-top-color: #333399 !important;border-top-style: solid !important;border-bottom-color: #333399 !important;border-bottom-style: solid !important;border-radius: 35px !important;}”]<span style=\"color: #333399;\"><strong>Related Skills<\/strong><\/span><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/3rd-grade\/compare-fractions-using-number-line\"><span style=\"color: #333399;\">Compare Fractions – Using Number Line<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/4th-grade\/graph-unit-fractions-on-a-number-line\"><span style=\"color: #333399;\">Graph Unit Fractions on a Number Line<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/4th-grade\/decimal-number-lines\"><span style=\"color: #333399;\">Decimal Number Lines<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/5th-grade\/read-mixed-number-on-a-number-line\"><span style=\"color: #333399;\">Read Mixed Number on a Number Line<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/adding-integers\"><span style=\"color: #333399;\">Adding Integers<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/multiplying-integers\"><span style=\"color: #333399;\">Multiplying Integers<\/span><\/a>[\/vc_column_text][vc_row_inner equal_height=”yes” el_class=”btninlinespacing”][vc_column_inner][vc_btn title=”Grade 1″ color=”warning” link=”url:https%3A%2F%2Foryxlearning.com%2Fgrade%2F1st-grade%2Fmaths|title:Grade%201%20Math||”][vc_btn title=”Grade 2″ color=”danger” link=”url:https%3A%2F%2Foryxlearning.com%2Fgrade%2F2nd-grade%2Fmaths|title:Grade%202%20Math||”][vc_btn title=”Grade 3″ color=”violet” link=”url:https%3A%2F%2Foryxlearning.com%2Fgrade%2F3rd-grade%2Fmaths|title:Grade%203%20Math||”][vc_btn title=”Grade 4″ color=”blue” link=”url:https%3A%2F%2Foryxlearning.com%2Fgrade%2F4th-grade%2Fmaths|title:Grade%204%20Math||”][vc_btn title=”Grade 5″ color=”green” link=”url:https%3A%2F%2Foryxlearning.com%2Fgrade%2F5th-grade%2Fmaths|title:Grade%205%20Math||”][vc_btn title=”Grade 6″ color=”info” link=”url:https%3A%2F%2Foryxlearning.com%2Fgrade%2F6th-grade%2Fmaths|title:Grade%206%20Math||”][vc_btn title=”Grade 7″ color=”vista-blue” link=”url:https%3A%2F%2Foryxlearning.com%2Fgrade%2F7th-grade%2Fmaths|title:Grade%207%20Math||”][vc_btn title=”Grade 8″ color=”mulled-wine” link=”url:https%3A%2F%2Foryxlearning.com%2Fgrade%2F8th-grade%2Fmaths|title:Grade%208%20Math||”][\/vc_column_inner][\/vc_row_inner][vc_row_inner equal_height=”yes” el_class=”btninlinespacing”][vc_column_inner][vc_btn title=”Addition” color=”warning” link=”url:https%3A%2F%2Foryxlearning.com%2Ftopics%2Fmaths%2Faddition|title:Addition||”][vc_btn title=”Algebra” color=”danger” 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el_class=”faaaq”][vc_column width=”1\/12″][\/vc_column][vc_column width=”1\/2″][vc_row_inner content_placement=”middle” el_class=”topheadingg”][vc_column_inner width=”1\/6″][vc_single_image image=”2283″ img_size=”full”][\/vc_column_inner][vc_column_inner width=”5\/6″][vc_column_text] X on a Number Line [\/vc_column_text][\/vc_column_inner][\/vc_row_inner][vc_column_text el_class=”headingnew”]Concept[\/vc_column_text][vc_column_text]Solve an inequality to find the value of x on the number line.[\/vc_column_text][vc_column_text el_class=”headingnew”]Rules[\/vc_column_text][vc_column_text]1. Use the properties of inequalities to isolate the variable on one side […]<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v17.0 (Yoast SEO v17.6) - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>X on a Number Line | Oryx Learning<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/oryxlearning.com\/learn\/x-on-a-number-line\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"X on a Number Line\" \/>\n<meta property=\"og:description\" content=\"[vc_section full_width=”stretch_row” content_placement=”middle” css=”.vc_custom_1633364343825{background-image: url(https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/10\/10-min-scaled.jpg?id=2121) !important;background-position: center !important;background-repeat: no-repeat !important;background-size: cover !important;}” el_id=”bg-sec”][vc_row full_width=”stretch_row_content” el_class=”faaaq”][vc_column width=”1\/12″][\/vc_column][vc_column width=”1\/2″][vc_row_inner content_placement=”middle” el_class=”topheadingg”][vc_column_inner width=”1\/6″][vc_single_image image=”2283″ img_size=”full”][\/vc_column_inner][vc_column_inner width=”5\/6″][vc_column_text] X on a Number Line [\/vc_column_text][\/vc_column_inner][\/vc_row_inner][vc_column_text el_class=”headingnew”]Concept[\/vc_column_text][vc_column_text]Solve an inequality to find the value of x on the number line.[\/vc_column_text][vc_column_text el_class=”headingnew”]Rules[\/vc_column_text][vc_column_text]1. 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