## Algebra 1: Common Core (15th Edition)

Published by Prentice Hall

# Chapter 3 - Solving Inequalities - 3-6 Compound Inequalities - Practice and Problem-Solving Exercises - Page 206: 64

#### Answer

$|6 - 2\frac{1}{4}|$ > $3\frac{5}{8}$

#### Work Step by Step

We need to do the subtraction on the left side of the inequality. First, let us convert the two numbers into fractions that will have the same denominator to be able to subtract the numbers easily. Let's convert these numbers into fractions that have $4$ as their denominators: $|\frac{24}{4} - \frac{9}{4}|$ ? $3\frac{5}{8}$ Let's do the subtraction on the left side of the inequality: $|\frac{15}{4}|$ ? $3\frac{5}{8}$ We can now do another conversion to get two fractions with $8$ as their denominators: $|\frac{30}{8}|$ ? $\frac{29}{8}$ We can see that the fraction on the left side of the inequality is greater than the one on the right side of the equation: $\frac{30}{8}$ > $\frac{29}{8}$

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