Question

What is the answer to this problem -2x – 4 < 3x + 21

Answer 1

Start with

$-2x-4 < 3x+21$

Add 2x to both sides:

$-4 < 5x+21$

Subtract 21 from both sides:

$-25 < 5x$

Divide both sides by 5. Since it is positive, we don't have to change the inequality sign:

$-5 < x$

So, the answer is $x > -5$