Is the inequality -2(2x + 9) > -4x + 9 sometimes, always, or never true?

Solution:

Given inequality -2(2x + 9) > -4x + 9

In order to check the condition, we need to make the number of terms equal

Using distributive law, multiply -2 with the terms in brackets

We get, -4x - 18 > -4x - 9

Add 4x on both sides

-4x - 18 + 4x > -4x - 9 + 4x

Here, -4x and +4x gets cancelled

-18 > -9

This inequality is always false since -18 is always less than -9

Is the inequality -2(2x + 9) > -4x + 9 sometimes, always, or never true?

Summary:

The inequality -2(2x + 9) > -4x + 9 is never true.