[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-263940-105":59,"doc-detail-263940-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","mathematical-reasoning-whats-the-problem-with-inequalities","Mathematical Reasoning - What’s the Problem with Inequalities?","","Instructional materials for GEDTS Mathematical Reasoning focused on inequalities, addressing how to write, manipulate, solve, and graph linear inequalities. The content highlights high-impact indicators for student work, including solving one-variable inequalities with rational coefficients, interpreting solutions on a number line, modeling real-world quantity relationships, and translating contextual statements into inequality expressions. Supporting sections define key symbols and vocabulary, and provide a math translation guide that maps common English problem terms to corresponding mathematical operations and notation.",{"@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/mathematical-reasoning-whats-the-problem-with-inequalities/263940/",{"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/mathematical-reasoning-whats-the-problem-with-inequalities/263940.png","ImageObject",300,407,{"name":92,"@type":93},"นรินทร์","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-20","2026-09-14",true,{"@type":102,"interactionType":103,"userInteractionCount":34},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"What are the high-impact indicators for solving linear inequalities in GEDTS Mathematical Reasoning?","Question",{"text":112,"@type":113},"The materials emphasize writing, manipulating, solving, and graphing linear inequalities, especially one-variable inequalities with rational coefficients and interpreting them on a number line. They also stress modeling real-world problems by creating and solving inequality expressions.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"How does the document help translate word problems into inequality notation?",{"text":117,"@type":113},"A dedicated math translation guide maps common English phrases to math operations and symbols. It helps learners set up equations or inequalities by matching words to corresponding algebraic expressions.",{"name":119,"@type":110,"acceptedAnswer":120},"Which vocabulary and symbols are defined for working with inequalities?",{"text":121,"@type":113},"The document defines inequality notation (>, ≥, \u003C, ≤, ≠) and related concepts such as boundary point, coefficient, inclusive vs. exclusive, and solution set. It explains what each term means and how it connects to solution truth for inequalities.","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},263940,1789375853,{"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":34,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":52,"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":143},2336475104957,"https://ap-avatar.wpscdn.com/avatar/22000c4c6bd8a5076e1?x-image-process=image/resize,m_fixed,w_180,h_180&k=1787554080175789136","Mathematical Reasoning: What’s the Problem with Inequalities?  \nResources  \nTuesdays for Teachers April 25 , 2017  \nBonnie Goonen – [bv73008@aol.com](bv73008@aol.com)[ ](bv73008@aol.com)Susan Pittman – [skptvs@aol.com](skptvs@aol.com)  \nTable of Contents  \nGEDTS® Mathematical Reasoning – High Impact Indicators ................................................ 3  \nSymbols and Vocabulary........................................................................................................... 4  \nMath Translation Guide.............................................................................................................. 5  \nTranslating Words into Symbols .............................................................................................. 7  \nCommonly Used Words in Mathematics .................................................................................. 8  \nResources Referenced in the Presentation ............................................................................. 9  \n© Copyright 2017 GED Testing Service LLC. All rights reserved. GED® and GED Testing Service® are  \nregistered trademarks of the American Council on Education (ACE) . They may not without the express written permission of ACE or GED Testing Service. The GED® Service® brands are administered by GED Testing Service LLC under license from  \nbe used or reproduced and GED Testing the American Council  \non Education.  \nGED Testing Service® | [www.GEDtestingservice.com](www.GEDtestingservice.com)  2  \n© Copyright 2017 GED Testing Service LLC. All rights reserved.  \nGEDTS® Mathematical Reasoning – High Impact Indicators  \n\n| Assessment\u003Cbr>Target | Indicators | What to look for in student work. The student can |\n| --- | --- | --- |\n| A.3 Write, manipulate, solve, and graph linear inequalities | • A.3.a Solve linear inequalities in one variable with rational number coefficients.\u003Cbr>• A.3. b Identify or graph the solution to a one variable linear inequality on a number line.\u003Cbr>• A.3.c Solve real-­world problems involving inequalities.\u003Cbr>• A.3.d Write linear inequalities in one variable to represent context. | • solved inequalities in one variable, using the standard algorithms.\u003Cbr>• solved a one-­variable inequality and identified or created a graph on the number line of the solution.\u003Cbr>• analyzed the relationship between quantities in a real-­world problem, and then created an inequality to model the problem situation.\u003Cbr>• analyzed the relationship between quantities in a real-­world problem, and then solved the problem through algebraic reasoning. |\n\nGED Testing Service® | [www.GEDtestingservice.com](www.GEDtestingservice.com)  3  \n© Copyright 2017 GED Testing Service LLC. All rights reserved.  \nSymbols and Vocabulary  \n\n| Notation or Vocabulary | Definition |  |\n| --- | --- | --- |\n| a > b | a is more than b |  |\n| a ≥ b | a is at least b |  |\n| a \u003C b | a is less than b |  |\n| a ≤ b | a is at most b or a is no more than b |  |\n| a ≠ b | a is not equal to b |  |\n| ∞ | Symbol for positive infinity -­ an abstract concept describing something without any bound or larger than any number. |  |\n| Boundary point | A solution that makes the inequality true |  |\n| Coefficient | 4a > b – the number associated with the variable |  |\n| Inclusive | a ≤ 6 – includes the number and is indicated on the number line with a closed circle  |  |\n| Exclusive | A \u003C 6 – excludes the number and is indicated on the number line with an open circle  |  |\n| Solution Set | The range of values that make the inequality true |  |\n\nGED Testing Service® | [www.GEDtestingservice.com](www.GEDtestingservice.com)  4  \n© Copyright 2017 GED Testing Service LLC. All rights reserved.  \nMath Translation Guide  \nThe chart below gives you some of the terms that come up in a lot of word problems. Use them in order to translate or “set-­up” word problems into equations.  \n\n| English | Math | Example | Translation |\n| --- | --- | --- | --- |\n| What, a number | x, n, etc. | Three more than ","cbCailbvZL0rsnEZ","https://ap.wps.com/l/cbCailbvZL0rsnEZ","pdf",327954,"English","# GEDTS® Mathematical Reasoning – High Impact Indicators\n# Symbols and Vocabulary\n# Math Translation Guide\n## Translating Words into Symbols\n## Commonly Used Words in Mathematics\n## Resources Referenced in the Presentation","[{\"question\":\"What are the high-impact indicators for solving linear inequalities in GEDTS Mathematical Reasoning?\",\"answer\":\"The materials emphasize writing, manipulating, solving, and graphing linear inequalities, especially one-variable inequalities with rational coefficients and interpreting them on a number line. They also stress modeling real-world problems by creating and solving inequality expressions.\"},{\"question\":\"How does the document help translate word problems into inequality notation?\",\"answer\":\"A dedicated math translation guide maps common English phrases to math operations and symbols. It helps learners set up equations or inequalities by matching words to corresponding algebraic expressions.\"},{\"question\":\"Which vocabulary and symbols are defined for working with inequalities?\",\"answer\":\"The document defines inequality notation (\\u003e, ≥, \\u003c, ≤, ≠) and related concepts such as boundary point, coefficient, inclusive vs. exclusive, and solution set. It explains what each term means and how it connects to solution truth for inequalities.\"}]","Mathematical Reasoning - What’s the Problem with Inequalities? | PDF",25]