[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-465964-105":59,"doc-detail-465964-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-465964","Expressing Inequalities on a Number Line","","Practice worksheet guiding students to express inequalities using a number line. A reference example is provided, followed by multiple problems where the inequality symbol and value are matched to the correct points on the line. The tasks include several forms such as X ≤ 30, X ≤ 90, X \u003C -140, X > -5, X > 30, X > 106, X ≤ -114, X > -154, and X \u003C -116, with endpoints and open/closed values implied by the number-line representation.",{"@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-465964/465964/",{"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-465964/465964.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 an inequality on a number line?","Question",{"text":112,"@type":113},"Place the relevant value points on the number line and use the inequality direction to shade or select the appropriate interval. Closed endpoints correspond to ≤ or ≥, while open endpoints correspond to \u003C or >.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"What does X ≤ 90 mean on the number line?",{"text":117,"@type":113},"It represents all numbers less than or equal to 90, meaning the interval extends to the left up to 90 with a closed point at 90.",{"name":119,"@type":110,"acceptedAnswer":120},"What is the difference between X \u003C -140 and X ≤ -140?",{"text":121,"@type":113},"X \u003C -140 uses an open endpoint at -140, while X ≤ -140 uses a closed endpoint at -140. The rest of the interval is to the left in both cases.","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},465964,1790770336,{"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) -40 -30 -20 -10 0 10 20 30 40 50 60 70 80 90 100  \nX ≤ 30                 \n1) 60 65 70 75 80 85 90 95 100 105 110 115 120 125 X ≤ 90   \n2) -165 -160 -155 -150 -145 -140 -135 -130 -125 -120 -115 X \u003C -140   \n3) -35 -30 -25 -20 -15 -10 -5 0 5 10 15 20 X > -5   \n4) 25 26 27 28 29 30 31 32 33 34 35 36 37 X > 30   \n5) 101 102 103 104 105 106 107 108 109 110 111 112 113 X > 106   \n6) -120 -119 -118 -117 -116 -115 -114 -113 -112 -111 -110 -109 -108 -107 X ≤ -114   \n7) -159 -158 -157 -156 -155 -154 -153 -152 -151 -150 -149 X > -154   \n8) 45 46 47 48 49 50 51 52 53 54 55 56 X > 50   \n9) -123 -122 -121 -120 -119 -118 -117 -116 -115 -114 -113 -112 -111 -110 -109 X \u003C -116   \n10) -230 -225 -220 -215 -210 -205 -200 -195 -190 -185 -180 -175 -170 -165 X ≥ -195   \n1-10  90  80  70  60  50  40  30  20  10  0   \n [Math ](Math  www.CommonCoreSheets.com 6)[ www.CommonCoreSheets.com](Math  www.CommonCoreSheets.com 6)[ 6](Math  www.CommonCoreSheets.com 6) ~~                   ~~  \nUse the numberline to express the inequality.  \nEx) -40 -30 -20 -10 0 10 20 30 40 50 60 70 80 90 100  \nX ≤ 30   \nX  \n1) 60 65 70 75 80 85 90 95 100 105 110 115 120 125 X ≤ 90   \nX  \n2) -165 -160 -155 -150 -145 -140 -135 -130 -125 -120 -115 X \u003C -140 ~~ ~~~~ ~~~~ ~~X~~ ~~~~ ~~~~ ~~~~ ~~~~ ~~~~ ~~~~ ~~~~ ~~  \n3) -35 -30 -25 -20 -15 -10 -5 0 5 10 15 20 X > -5 ~~ ~~~~ ~~~~ ~~~~ ~~~~ ~~~~ ~~~~ ~~~~ ~~~~ ~~X~~ ~~~~ ~~~~ ~~  \n4) 25 26 27 28 29 30 31 32 33 34 35 36 37 X > 30 ~~ ~~~~ ~~~~ ~~~~ ~~~~ ~~~~ ~~~~ ~~~~ ~~~~ ~~X~~ ~~~~ ~~~~ ~~~~ ~~  \n5) 101 102 103 104 105 106 107 108 109 110 111 112 113 X > 106 ~~ ~~~~ ~~~~ ~~~~ ~~~~ ~~~~ ~~~~ ~~~~ ~~~~ ~~X~~ ~~~~ ~~~~ ~~~~ ~~  \n6) -120 -119 -118 -117 -116 -115 -114 -113 -112 -111 -110 -109 -108 -107 X ≤ -114   \nX  \n7) -159 -158 -157 -156 -155 -154 -153 -152 -151 -150 -149 X > -154 ~~ ~~~~ ~~~~ ~~~~ ~~~~ ~~~~ ~~~~ ~~~~ ~~X~~ ~~~~ ~~~~ ~~  \n8) 45 46 47 48 49 50 51 52 53 54 55 56 X > 50 ~~ ~~~~ ~~~~ ~~~~ ~~~~ ~~~~ ~~~~ ~~~~ ~~X~~ ~~~~ ~~~~ ~~  \n9) -123 -122 -121 -120 -119 -118 -117 -116 -115 -114 -113 -112 -111 -110 -109 X \u003C -116 ~~ ~~~~ ~~~~ ~~~~ ~~X~~ ~~~~ ~~~~ ~~~~ ~~~~ ~~~~ ~~~~ ~~~~ ~~~~ ~~~~ ~~~~ ~~  \n10) -230 -225 -220 -215 -210 -205 -200 -195 -190 -185 -180 -175 -170 -165 X ≥ -195   \nX  \n1-10  90  80  70  60  50  40  30  20  10  0   \n [Math ](Math  www.CommonCoreSheets.com 6)[ www.CommonCoreSheets.com](Math  www.CommonCoreSheets.com 6)[ 6](Math  www.CommonCoreSheets.com 6) ~~                   ~~  \nUse the numberline to express the inequality.  \nEx) X ≤ 30  \n-40 -30 -20 -10 0 10 20 30 40 50 60 70 80 90 100  \n1) X ≤ 90  \n60 65 70 75 80 85 90 95 100 105 110 115 120 125  \n2) X \u003C -140  \n-165 -160 -155 -150 -145 -140 -135 -130 -125 -120 -115  \n3) X > -5  \n-35 -30 -25 -20 -15 -10 -5 0 5 10 15 20  \n4) X > 30  \n25 26 27 28 29 30 31 32 33 34 35 36 37  \n5) X > 106  \n101 102 103 104 105 106 107 108 109 110 111 112 113  \n6) X ≤ -114  \n-120 -119 -118 -117 -116 -115 -114 -113 -112 -111 -110 -109 -108 -107  \n7) X > -154  \n-159 -158 -157 -156 -155 -154 -153 -152 -151 -150 -149","cbCailZzSzs2VWlz","https://ap.wps.com/l/cbCailZzSzs2VWlz","pdf",63749,"English","# Use the Number Line to Express the Inequality\n## Example: X ≤ 30\n## Problems 1-7\n## Problems 8-10","[{\"question\":\"How do you represent an inequality on a number line?\",\"answer\":\"Place the relevant value points on the number line and use the inequality direction to shade or select the appropriate interval. Closed endpoints correspond to ≤ or ≥, while open endpoints correspond to \\u003c or \\u003e.\"},{\"question\":\"What does X ≤ 90 mean on the number line?\",\"answer\":\"It represents all numbers less than or equal to 90, meaning the interval extends to the left up to 90 with a closed point at 90.\"},{\"question\":\"What is the difference between X \\u003c -140 and X ≤ -140?\",\"answer\":\"X \\u003c -140 uses an open endpoint at -140, while X ≤ -140 uses a closed endpoint at -140. The rest of the interval is to the left in both cases.\"}]","Expressing Inequalities on a Number Line | PDF"]