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It provides examples such as locating points at specific values and marking the region that satisfies relations like X ≥ -150 and X \u003C -5. The exercises include multiple numbered items, each pairing a stated inequality with a corresponding set of values on the line, covering greater-than, less-than, and inclusive 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do you use the number line to express an inequality?","Question",{"text":112,"@type":113},"Place the boundary value on the number line, then shade or select the side that includes all numbers satisfying the inequality sign for X.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"What does X ≥ mean on a number line?",{"text":117,"@type":113},"X ≥ includes the boundary point, so the region shaded starts at the boundary value and extends to the right.",{"name":119,"@type":110,"acceptedAnswer":120},"What does X \u003C mean on a number line?",{"text":121,"@type":113},"X \u003C excludes the boundary point, so the region shaded starts just left of the boundary value and extends to the left without including it.","https://schema.org",{"og:url":83,"og:type":124,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":126,"canonical":83},"index,follow",{"doc_id":128,"site_id":62},465961,1790770331,{"code":4,"msg":5,"data":131},{"doc_id":128,"user_id":132,"nickname":92,"user_avatar":133,"doc_module":4,"category_id":19,"category_name":20,"doc_title":65,"doc_description":67,"doc_content":134,"file_id":135,"file_url":136,"file_type":137,"file_size":138,"view_count":8,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":81,"language":139,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":140,"faqs":141,"seo_title":142,"seo_description":67,"update_tm":129,"read_time":39},2336464648322,"https://ap-avatar.wpscdn.com/avatar/2200025388227c56fec?_k=1778556882303663488","Use the numberline to express the inequality.  \nEx) -185 -180 -175 -170 -165 -160 -155 -150 -145 -140 -135 -130 -12 5  \nX ≥ -150               \n1) -35 -30 -25 -20 -15 -10 -5 0 5 10 15 20 25 30 X \u003C -5   \n2) 172 173 174 175 176 177 178 179 180 181 182 X ≤ 177   \n3) 95 96 97 98 99 100 101 102 103 104 105 X ≥ 100   \n4) 165 170 175 180 185 190 195 200 205 210 215 220 225 230 X ≥ 195   \n5) 40 50 60 70 80 90 100 110 120 130 140 150 X \u003C 100   \n6) 60 70 80 90 100 110 120 130 140 150 160 170 180 X ≤ 130   \n7) -120 -115 -110 -105 -100 -95 -90 -85 -80 -75 -70 -65 -60 X ≤ -85   \n8) 90 100 110 120 130 140 150 160 170 180 190 200 210 X ≥ 150   \n9) -240 -230 -220 -210 -200 -190 -180 -170 -160 -150 -140 -130 -120 -110 -100 X \u003C -170   \n10) 129 130 131 132 133 134 135 136 137 138 139 140 141 142 X ≥ 136   \n1-10  90  80  70  60  50  40  30  20  10  0   \n [Math ](Math  www.CommonCoreSheets.com 5)[ www.CommonCoreSheets.com](Math  www.CommonCoreSheets.com 5)[ 5](Math  www.CommonCoreSheets.com 5) ~~                   ~~  \nUse the numberline to express the inequality.  \nEx) -185 -180 -175 -170 -165 -160 -155 -150 -145 -140 -135 -130 -125  \nX ≥ -150   \nX  \n1) -35 -30 -25 -20 -15 -10 -5 0 5 10 15 20 25 30 X \u003C -5 ~~ ~~~~ ~~~~ ~~X~~ ~~~~ ~~~~ ~~~~ ~~~~ ~~~~ ~~~~ ~~~~ ~~~~ ~~~~ ~~  \n2) 172 173 174 175 176 177 178 179 180 181 182 X ≤ 177   \nX  \n3) 95 96 97 98 99 100 101 102 103 104 105 X ≥ 100   \nX  \n4) 165 170 175 180 185 190 195 200 205 210 215 220 225 230 X ≥ 195   \nX  \n5) 40 50 60 70 80 90 100 110 120 130 140 150 X \u003C 100 ~~ ~~~~ ~~~~ ~~X~~ ~~~~ ~~~~ ~~~~ ~~~~ ~~~~ ~~~~ ~~~~ ~~  \n6) 60 70 80 90 100 110 120 130 140 150 160 170 180 X ≤ 130   \nX  \n7) -120 -115 -110 -105 -100 -95 -90 -85 -80 -75 -70 -65 -60 X ≤ -85   \nX  \n8) 90 100 110 120 130 140 150 160 170 180 190 200 210 X ≥ 150   \nX  \n9) -240 -230 -220 -210 -200 -190 -180 -170 -160 -150 -140 -130 -120 -110 -100 X \u003C -170 ~~ ~~~~ ~~~~ ~~~~ ~~X~~ ~~~~ ~~~~ ~~~~ ~~~~ ~~~~ ~~~~ ~~~~ ~~~~ ~~~~ ~~~~ ~~  \n10) 129 130 131 132 133 134 135 136 137 138 139 140 141 142 X ≥ 136   \nX  \n1-10  90  80  70  60  50  40  30  20  10  0   \n [Math ](Math  www.CommonCoreSheets.com 5)[ www.CommonCoreSheets.com](Math  www.CommonCoreSheets.com 5)[ 5](Math  www.CommonCoreSheets.com 5) ~~                   ~~  \nUse the numberline to express the inequality.  \nEx) X ≥ -150  \n-185 -180 -175 -170 -165 -160 -155 -150 -145 -140 -135 -130 -125  \n1) X \u003C -5  \n-35 -30 -25 -20 -15 -10 -5 0 5 10 15 20 25 30  \n2) X ≤ 177  \n172 173 174 175 176 177 178 179 180 181 182  \n3) X ≥ 100  \n95 96 97 98 99 100 101 102 103 104 105  \n4) X ≥ 195  \n165 170 175 180 185 190 195 200 205 210 215 220 225 230  \n5) X \u003C 100  \n40 50 60 70 80 90 100 110 120 130 140 150  \n6) X ≤ 130  \n60 70 80 90 100 110 120 130 140 150 160 170 180  \n7) X ≤ -85  \n-120 -115 -110 -105 -100 -95 -90 -85 -80 -75 -70 -65 -60","cbCaifbyZxN6X4EY","https://ap.wps.com/l/cbCaifbyZxN6X4EY","pdf",63391,"English","# Express the inequality on the number line\n## Example and instructions\n## Practice inequalities 1 to 7","[{\"question\":\"How do you use the number line to express an inequality?\",\"answer\":\"Place the boundary value on the number line, then shade or select the side that includes all numbers satisfying the inequality sign for X.\"},{\"question\":\"What does X ≥ mean on a number line?\",\"answer\":\"X ≥ includes the boundary point, so the region shaded starts at the boundary value and extends to the right.\"},{\"question\":\"What does X \\u003c mean on a number line?\",\"answer\":\"X \\u003c excludes the boundary point, so the region shaded starts just left of the boundary value and extends to the left without including it.\"}]","Expressing Inequalities on a Number Line | PDF"]