Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 2 - Section 2.4 - Linear Inequalities and Problem Solving - Exercise Set - Page 85: 26

Answer

$(7,\infty)$

Work Step by Step

$20+x\lt6x-15$ Solve for x by subtracting x from each side, adding 15 to each side, then dividing each side by 5. $20+x-x\lt6x-15-x$ $20\lt5x-15$ $20+15\lt5x-15+15$ $35\lt5x$ $35\div5\lt5x\div5$ $7\lt x$ $x\gt7$ This is expressed in interval notation as $(7,\infty)$ where ( indicates that the solution set for x approaches but does not include 7.
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