## Introductory Algebra for College Students (7th Edition)

Published by Pearson

# Chapter 2 - Section 2.7 - Solving Linear Inequalities - Exercise Set - Page 197: 121

#### Answer

The statement is false. To make the statement true, we can rewrite it this way: "The inequality $x - 3 > 0$ is equivalent to $x > 3$."

#### Work Step by Step

If we isolate the variable to one side of the inequality and the constant to the other, then we can see if the two inequalities are equal. We first add $3$ on each side of the inequality: $$x > 3$$ This statement is false: The two inequalities are not the same because one has $x$ being less than $3$ with a solution set of $(-∞, 3)$ whereas the other has $x$ being greater than $3$ and a solution set of $(3, ∞)$. To make the statement true, we can rewrite it this way: "The inequality $x - 3 > 0$ is equivalent to $x > 3$."

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