Intermediate Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-894-7
ISBN 13: 978-0-13417-894-3

Chapter 4 - Section 4.2 - Compound Inequalities - Exercise Set - Page 272: 8

Answer

$(4,\infty)$. The graph is shown below.

Work Step by Step

The given compound inequality is $x>2$ and $x>4$. First graph and then take the intersection of the two inequality. The graph is shown in the image file. We can write the compound inequality. $x>2$ as $(2,\infty)$ and $x>4$ as $(4,\infty)$ The intersection is $(2,\infty)\cap(4,\infty)=(4,\infty)$.
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