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 and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Question
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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