[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-465955-105":59,"doc-detail-465955-en":130},{"code":4,"msg":5,"data":6},0,"success",[7,13,18,23,28,33,38,43,48,51,55],{"id":8,"doc_module":4,"doc_module_name":9,"category_name":10,"show_sort_weight":11,"slug":12},1,"Document","Story & Novel",90,"story-novel",{"id":14,"doc_module":4,"doc_module_name":9,"category_name":15,"show_sort_weight":16,"slug":17},2,"Literature",80,"literature",{"id":19,"doc_module":4,"doc_module_name":9,"category_name":20,"show_sort_weight":21,"slug":22},4,"Exam",70,"exam",{"id":24,"doc_module":4,"doc_module_name":9,"category_name":25,"show_sort_weight":26,"slug":27},5,"Comic",60,"comic",{"id":29,"doc_module":4,"doc_module_name":9,"category_name":30,"show_sort_weight":31,"slug":32},6,"Technology",50,"technology",{"id":34,"doc_module":4,"doc_module_name":9,"category_name":35,"show_sort_weight":36,"slug":37},7,"Healthcare",40,"healthcare",{"id":39,"doc_module":4,"doc_module_name":9,"category_name":40,"show_sort_weight":41,"slug":42},8,"Research & Report",30,"research-report",{"id":44,"doc_module":4,"doc_module_name":9,"category_name":45,"show_sort_weight":46,"slug":47},9,"Religion & Spirituality",20,"religion-spirituality",{"id":46,"doc_module":4,"doc_module_name":9,"category_name":49,"show_sort_weight":46,"slug":50},"World Cup","world-cup",{"id":52,"doc_module":4,"doc_module_name":9,"category_name":53,"show_sort_weight":52,"slug":54},10,"Lifestyle","lifestyle",{"id":56,"doc_module":4,"doc_module_name":9,"category_name":57,"show_sort_weight":24,"slug":58},19,"General","general",{"code":4,"msg":60,"data":61},"ok",{"site_id":62,"language":63,"slug":64,"title":65,"keywords":66,"description":67,"schema_data":68,"social_meta":123,"head_meta":125,"extra_data":127,"updated_unix":129},105,"en","expressing-inequalities-on-a-number-line-use-the-numberline-to-express-the-inequality","Expressing Inequalities on a Number Line - Use the numberline to express the inequality","","Use a number line to translate inequality statements about X into correct solution sets. Examples show how strict inequalities (X > a, X \u003C a) and inclusive inequalities (X ≥ a, X ≤ a) are represented with open or closed endpoints. Multiple problems use different positive and negative thresholds, including consecutive integer ranges, to practice reading left/right directions and selecting the appropriate points on the line.",{"@graph":69,"@context":122},[70,84,105],{"@type":71,"itemListElement":72},"BreadcrumbList",[73,77,79,82],{"item":74,"name":75,"@type":76,"position":8},"https://docshare.wps.com","Home","ListItem",{"item":78,"name":9,"@type":76,"position":14},"https://docshare.wps.com/document/",{"item":80,"name":20,"@type":76,"position":81},"https://docshare.wps.com/document/exam/",3,{"item":83,"name":65,"@type":76,"position":19},"https://docshare.wps.com/document/expressing-inequalities-on-a-number-line-use-the-numberline-to-express-the-inequality/465955/",{"url":83,"name":65,"@type":85,"image":86,"author":91,"headline":65,"publisher":94,"fileFormat":97,"inLanguage":63,"description":67,"dateModified":98,"datePublished":99,"encodingFormat":97,"isAccessibleForFree":100,"interactionStatistic":101},"DigitalDocument",{"url":87,"@type":88,"width":89,"height":90},"https://docshare.wps.com/thumbnails/expressing-inequalities-on-a-number-line-use-the-numberline-to-express-the-inequality/465955.png","ImageObject",300,407,{"name":92,"@type":93},"Aria","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-02","2026-09-30",true,{"@type":102,"interactionType":103,"userInteractionCount":8},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"How do you represent X > a on a number line?","Question",{"text":112,"@type":113},"Place an open endpoint at a, then shade/mark numbers to the right of a.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"How do you represent X ≥ a on a number line?",{"text":117,"@type":113},"Use a closed endpoint at a, then shade/mark numbers to the right of a.",{"name":119,"@type":110,"acceptedAnswer":120},"What changes when the inequality is X \u003C a or X ≤ a?",{"text":121,"@type":113},"For X \u003C a use an open endpoint and mark numbers to the left; for X ≤ a use a closed endpoint and mark numbers to the left.","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},465955,1790770320,{"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) -80 -70 -60 -50 -40 -30 -20 -10 0 10 20 30  \nX > -20              \n1) -150 -140 -130 -120 -110 -100 -90 -80 -70 -60 -50 -40 -30 X > -90   \n2) 70 80 90 100 110 120 130 140 150 160 170 X ≥ 120   \n3) -102 -101 -100 -99 -98 -97 -96 -95 -94 -93 -92 -91 -90 -89 -88 X \u003C -95   \n4) -203 -202 -201 -200 -199 -198 -197 -196 -195 -194 -193 -192 -191 X \u003C -196   \n5) 60 65 70 75 80 85 90 95 100 105 110 115 X > 90   \n6) 120 130 140 150 160 170 180 190 200 210 220 230 240 250 X \u003C 190   \n7) -180 -170 -160 -150 -140 -130 -120 -110 -100 -90 -80 -70 -60 X > -120   \n8) -20 -15 -10 -5 0 5 10 15 20 25 30 35 40 X ≥ 10   \n9) -120 -119 -118 -117 -116 -115 -114 -113 -112 -111 -110 -109 -108 X \u003C -114   \n10) -125 -124 -123 -122 -121 -120 -119 -118 -117 -116 -115 -114 -113 -112 X \u003C -119   \n1-10  90  80  70  60  50  40  30  20  10  0   \n [Math ](Math  www.CommonCoreSheets.com 3)[ www.CommonCoreSheets.com](Math  www.CommonCoreSheets.com 3)[ 3](Math  www.CommonCoreSheets.com 3) ~~                   ~~  \nUse the numberline to express the inequality.  \nEx) -80 -70 -60 -50 -40 -30 -20 -10 0 10 20 30  \nX > -20 ~~ ~~~~ ~~~~ ~~~~ ~~~~ ~~~~ ~~~~ ~~~~ ~~~~ ~~X~~ ~~~~ ~~~~ ~~  \n1) -150 -140 -130 -120 -110 -100 -90 -80 -70 -60 -50 -40 -30 X > -90 ~~ ~~~~ ~~~~ ~~~~ ~~~~ ~~~~ ~~~~ ~~~~ ~~~~ ~~X~~ ~~~~ ~~~~ ~~  \n2) 70 80 90 100 110 120 130 140 150 160 170 X ≥ 120   \nX  \n3) -102 -101 -100 -99 -98 -97 -96 -95 -94 -93 -92 -91 -90 -89 -88 X \u003C -95 ~~ ~~~~ ~~~~ ~~~~ ~~X~~ ~~~~ ~~~~ ~~~~ ~~~~ ~~~~ ~~~~ ~~~~ ~~~~ ~~~~ ~~~~ ~~  \n4) -203 -202 -201 -200 -199 -198 -197 -196 -195 -194 -193 -192 -191 X \u003C -196 ~~ ~~~~ ~~~~ ~~~~ ~~X~~ ~~~~ ~~~~ ~~~~ ~~~~ ~~~~ ~~~~ ~~~~ ~~~~ ~~  \n5) 60 65 70 75 80 85 90 95 100 105 110 115 X > 90 ~~ ~~~~ ~~~~ ~~~~ ~~~~ ~~~~ ~~~~ ~~~~ ~~~~ ~~X~~ ~~~~ ~~~~ ~~  \n6) 120 130 140 150 160 170 180 190 200 210 220 230 240 250 X \u003C 190 ~~ ~~~~ ~~~~ ~~~~ ~~X~~ ~~~~ ~~~~ ~~~~ ~~~~ ~~~~ ~~~~ ~~~~ ~~~~ ~~~~ ~~  \n7) -180 -170 -160 -150 -140 -130 -120 -110 -100 -90 -80 -70 -60 X > -120 ~~ ~~~~ ~~~~ ~~~~ ~~~~ ~~~~ ~~~~ ~~~~ ~~~~ ~~X~~ ~~~~ ~~~~ ~~  \n8) -20 -15 -10 -5 0 5 10 15 20 25 30 35 40 X ≥ 10   \nX  \n9) -120 -119 -118 -117 -116 -115 -114 -113 -112 -111 -110 -109 -108 X \u003C -114 ~~ ~~~~ ~~~~ ~~X~~ ~~~~ ~~~~ ~~~~ ~~~~ ~~~~ ~~~~ ~~~~ ~~~~ ~~  \n10) -125 -124 -123 -122 -121 -120 -119 -118 -117 -116 -115 -114 -113 -112 X \u003C -119 ~~ ~~~~ ~~~~ ~~X~~ ~~~~ ~~~~ ~~~~ ~~~~ ~~~~ ~~~~ ~~~~ ~~~~ ~~~~ ~~  \n1-10  90  80  70  60  50  40  30  20  10  0   \n [Math ](Math  www.CommonCoreSheets.com 3)[ www.CommonCoreSheets.com](Math  www.CommonCoreSheets.com 3)[ 3](Math  www.CommonCoreSheets.com 3) ~~                   ~~  \nUse the numberline to express the inequality.  \nEx) X > -20  \n-80 -70 -60 -50 -40 -30 -20 -10 0 10 20 30  \n1) X > -90  \n-150 -140 -130 -120 -110 -100 -90 -80 -70 -60 -50 -40 -30  \n2) X ≥ 120  \n70 80 90 100 110 120 130 140 150 160 170  \n3) X \u003C -95  \n-102 -101 -100 -99 -98 -97 -96 -95 -94 -93 -92 -91 -90 -89 -88  \n4) X \u003C -196  \n-203 -202 -201 -200 -199 -198 -197 -196 -195 -194 -193 -192 -191  \n5) X > 90  \n60 65 70 75 80 85 90 95 100 105 110 115  \n6) X \u003C 190  \n120 130 140 150 160 170 180 190 200 210 220 230 240 250  \n7) X > -120  \n-180 -170 -160 -150 -140 -130 -120 -110 -100 -90 -80 -70 -60","cbCaitREZXpWPN9T","https://ap.wps.com/l/cbCaitREZXpWPN9T","pdf",63412,"English","# Expressing inequalities on a number line\n## Examples and directions\n## Practice problems with thresholds","[{\"question\":\"How do you represent X \\u003e a on a number line?\",\"answer\":\"Place an open endpoint at a, then shade/mark numbers to the right of a.\"},{\"question\":\"How do you represent X ≥ a on a number line?\",\"answer\":\"Use a closed endpoint at a, then shade/mark numbers to the right of a.\"},{\"question\":\"What changes when the inequality is X \\u003c a or X ≤ a?\",\"answer\":\"For X \\u003c a use an open endpoint and mark numbers to the left; for X ≤ a use a closed endpoint and mark numbers to the left.\"}]","Expressing Inequalities on a Number Line - Use the numberline to express the inequality | PDF"]