# Work with a partner a consider the statement x is a

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Work with a partner.a. Consider the statement “xis a number such that x< 2Can the number be exactly 2? Explain.Circle each number that makes the statement true.5 4 3 2 1 0 1 Write four other numbers that make the statement true.b. Consider the statement “xis a number such that x1Can the number be exactly 1? Explain.Circle each number that makes the statement true.5 4 3 2 1 0 1 Write four other numbers that make the statement true.Work with a partner.a. Which number line shows x> 0? Which number line shows xExplain your reasoning.How Close Can You Come to 0?Meaning of SymbolsWhat do the symbols < and mean?Math Practice.”2 3 4.”2 3 4ACTIVITY: Understanding Inequality Symbols20? Ź8Ź6Ź4Ź208642Ź8Ź6Ź4Ź208642b. Write the least positive number you can think of that is still a solution of the inequality x>0. Explain your reasoning.IN YOUR OWN WORDSHow can you use a number line to represent solutions of an inequality?5.Write an inequality. Graph all solutions of your inequality on a number line.6.Graph the inequalities x> 9 and 9 < xon different number lines. What do you notice?Use what you learned about graphing inequalities to complete Exercises 17–20 on page 329.ACTIVITY: How Close Can You Come to 0?Meaning of SymbolsWhat do the symbols < and mean?Math Practice34.IN YOUR OWN WORDSHow can you use a number line to represent solutions of an inequality?5.Write an inequality. Graph all solutions of your inequality on a number line.6.Graph the inequalities x> 9 and 9 < xon different number lines. What do you notice?Use what you learned about graphing inequalities to complete Exercises 17–20 on page 329.State the Meaning of SymbolsWhat do the symbols < and mean?Math Practice
Chapter 7Equations and InequalitiesLesson7.5An inequalityis a mathematical sentence that compares expressions. It contains the symbols <, >, , or . To write an inequality, look for the following phrases to determine where to place the inequality symbol.Key Vocabularyinequality, p. 326solution of an inequality, p. 327solution set, p. 327graph of an inequality, p. 328EXAMPLEWriting Inequalities1Write the word sentence as an inequality.
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8.c. Four times a number qis at most 16.Four times a number qis at most 16.4q16 An inequality is 4q16.Write the word sentence as an inequality.
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Lesson TutorialsInequality SymbolsSymbol<>Key Phrasesis less thanis fewer thanis greater thanis more thanis less than or equal tois at mostis no more thanis greater than or equal tois at leastis no less than
Section 7.5Writing and Graphing Inequalities 327A solution of an inequalityis a value that makes the inequality true. An inequality can have more than one solution. The set of all solutions of an inequality is called the solution set.ReadingThe symbol means is not less than or equal to.
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