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

This statement is false. To correct the statement to make it true, we can rewrite it this way: "The inequality $-4x < -20$ is equivalent to $x > 5$."
Let us solve the inequality first by dividing both sides of the inequality by $-4$. Remember that when we divide by a negative number in an inequality, we have to reverse the sign. $$\frac{-4x}{-4} < \frac{-20}{-4}$$ When we divide, we get: $$x > 5$$ We see that this statement is false because $x > 5$ is not the same as $x > -5$. To correct the statement to make it true, we can rewrite it this way: "The inequality $-4x < -20$ is equivalent to $x > 5$."