Answer
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 $x > 5$."
Work Step by Step
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 $x > 5$."
