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Make Sense? In Exercises 115–118, determine whether each statement makes sense or does not make sense, and explain your reasoning. 115. I solved x - 2| = 5 by rewriting the equation as x - 2 = 5 or x + 2 = 5. 116. I solved |x – 2|> 5 by rewriting the inequality as -5 5. 117. Because the absolute value of any expression is never less than a negative number, I can immediately conclude that the inequality |2x - 5| - 9 < -4 has no solution. 118. I'll win the contest if I can complete the crossword puzzle in 20 minutes plus or minus 5 minutes, so my winning time, x, is modeled by |x – 20| < 5.

Make Sense? In Exercises 115–118, determine whether each statement makes sense or does not make sense, and explain your reasoning. 115. I solved x - 2| = 5 by rewriting the equation as x - 2 = 5 or x + 2 = 5. 116. I solved |x – 2|> 5 by rewriting the inequality as -5 5. 117. Because the absolute value of any expression is never less than a negative number, I can immediately conclude that the inequality |2x - 5| - 9 < -4 has no solution. 118. I'll win the contest if I can complete the crossword puzzle in 20 minutes plus or minus 5 minutes, so my winning time, x, is modeled by |x – 20| < 5.

Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter10: Inequalities
Section10.2: Solving Inequalities
Problem 16OE
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Make Sense? In Exercises 115–118, determine whether each statement makes sense or does not make sense, and explain your reasoning. 115. I solved x - 2| = 5 by rewriting the equation as x - 2 = 5 or x + 2 = 5. 116. I solved |x – 2|> 5 by rewriting the inequality as -5 <x – 2 > 5. 117. Because the absolute value of any expression is never less than a negative number, I can immediately conclude that the inequality |2x - 5| - 9 < -4 has no solution. 118. I'll win the contest if I can complete the crossword puzzle in 20 minutes plus or minus 5 minutes, so my winning time, x, is modeled by |x – 20| < 5.
Transcribed Image Text:Make Sense? In Exercises 115–118, determine whether each statement makes sense or does not make sense, and explain your reasoning. 115. I solved x - 2| = 5 by rewriting the equation as x - 2 = 5 or x + 2 = 5. 116. I solved |x – 2|> 5 by rewriting the inequality as -5 <x – 2 > 5. 117. Because the absolute value of any expression is never less than a negative number, I can immediately conclude that the inequality |2x - 5| - 9 < -4 has no solution. 118. I'll win the contest if I can complete the crossword puzzle in 20 minutes plus or minus 5 minutes, so my winning time, x, is modeled by |x – 20| < 5.
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