Calculus (3rd Edition)

Published by W. H. Freeman
ISBN 10: 1464125260
ISBN 13: 978-1-46412-526-3

Chapter 1 - Precalculus Review - 1.1 Real Numbers, Functions, and Graphs - Exercises: 11

Answer

-3$\lt$x$\lt$2

Work Step by Step

1.) Set the inequality equal to what the originally value of 5, then set it to the opposite of the value 5 and switch the inequality sign. 2x+1$\lt$ 5 and 2x+1$\gt$ -5 2.) Solve the first inequality for x by subtracting one from both sides then dividing by 2. 2x+1$\lt$5 - 1 -1 2x$\lt$4 $\div$2 $\div$2 x$\lt$ 2 2.) Solve the second inequality for x by subtracting 1 and dividing by 2. 2x+1$\gt$-5 -1 -1 2x$\gt$-6 $\div$2 $\div$2 X$\gt$ -3 4.) Put the two inequalities solved for X together: -3$\lt$x$\lt$ 2
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