Calculus: An Applied Approach (MindTap Course List)
Calculus: An Applied Approach (MindTap Course List)
10th Edition
ISBN: 9781305860919
Author: Ron Larson
Publisher: Cengage Learning
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Chapter A2, Problem 17E
To determine

To calculate: The solution interval of the inequality, |x+5|7 and graph the solution interval on the real number line.

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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.
In Exercises 111–113, solve each inequality using a graphing utility. Graph each side separately in the same viewing rectangle. The solution set consists of all values of x for which the graph of the left side lies above the graph of the right side. 111. |2x – 1| >7 112. |0.1x – 0.4| + 0.4 > 0.6 113. |x + 4| > -1
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2.1 Introduction to inequalities; Author: Oli Notes;https://www.youtube.com/watch?v=D6erN5YTlXE;License: Standard YouTube License, CC-BY
GCSE Maths - What are Inequalities? (Inequalities Part 1) #56; Author: Cognito;https://www.youtube.com/watch?v=e_tY6X5PwWw;License: Standard YouTube License, CC-BY
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