Module 9 The R and S in MathThis module is about mathematicalphrases, sentences, first-degree equations andinequalities.IntheEnglishlanguage, lettersandpunctuationsareusedtocreatewordsandphrases. In Algebra,lettersalongwithnumbersandsymbolsofoperationsare used tocreateexpressions. Expressionstogether withtherelationsymbolsareusedtocreateequations and inequalities. Such equations and inequalities are used to model and solereal-life problems.!ou will learn more about these concepts as you study the four lessonsin this module.Lesson 1 Mathematical Phrase, Mathematical Sentences, Equations and InequalitiesLesson 2 Translating Verbal Statements to Equations or Inequalities and vice-versaLesson 3 Differentiating First-degree Equations from First-degree Inequalities in ne VariableLesson 4 A!!lications of Equations and Inequalities After wor"ing on this module, the student is expected to# distinguish between mathematical phrases and mathematical sentences$ equations and inequalities$ translate erbal sentences to equations or inequalities and ice-ersa$ define first degree equations and first-degree inequalities in one ariable$ and%What this module is all about What you are expected to learn apply equations and inequalities in some real-life situations. This is your guide for the proper use of the module#%. &ead the items in the module carefully.'. (ollow the directions as you read the materials. ). Answer all the questions that you encounter. As you go through the module, you will find help to answer these questions. Sometimes, the answers are found at theend of the module for immediate feedbac".*. To be successful in underta"ing this module, you must be patient and industrious in doing the suggested tas"s. +. Ta"e your time to study and learn. Happy learning!The following flowchart seres as your quic" guide in using this module.' How to learn from this moduleStartTa"e the ,retest-hec" your paper and count your correct answers.Is your score ./0 or aboe1!es Scan the items you missed.2oStudy this moduleTa"e the ,osttest,roceed to the next module3ST4,.5ultiple -hoice.-hoose the letter of the correct answer.%. 6hich of the following is a mathematical phrase1a. x' 7 % < %/ 8 %% c. x 8 % 9 %/b. )m' 7 'n 8 %: ; /d. x' 7 *x 7 %'. 6hich of the following is 24T an equation1a. P ; '% ; 'w c. x' 8 )x > x 8' b. x' 8 % ; / d. x' 7 ; %) d. 'x ; + 7 %):.Translate this erbal sentence into an equation#@Two less than a number is twenty-one.A.a. 'y; '% c.y ; '% - 'b. ' 8 y ; '% d.y 8 ' ; '%)What to do before (Pretest) ; s d.%'/ ; *s

&ead the following lessons carefully.Lesson 1 Mathematical Phrase, Mathematical Sentence, Equations and InequalitiesIn the preious module, you learned about algebraic expressions.Get us recall its definition.+An algebraic expression is a collection ofconstants and ariables that are combined using one or more of the four fundamental operations namely, addition, subtraction, multiplication and diision =except diision by Hero>.What you will doAnswer Key on page 21 Get us now obsere some algebraic expressions that are contained in themathematical phrases and mathematical sentences presented below.Mathematical Phrases Mathematical Sentences '/ 8 %' '/ 8 %' ; .'b 'b; *x + y < ; x + y +s +s = t)r 7 * ) 7 * D / - '%-. (ill in the box with the relation symbol ;, D, , 9 or .%. ) 7 + B 8 %'. . '=< 8 )>). =)B )> 7 ': 7'=+ 8 %>*. x 7 :%), if x is replaced by