Question

Complete the conditional statement. If -2a > 6, then _____. a > 3 a < 3 a < -3 a > -3

Answer 1

Hi there!

Let's solve this inequality step by step!
$- 2a > 6$

First divide both sides by 2.
$- a > 3$

To find the value of a, we must get rid of the negative sign in front of it, so we divide both sides by -1. When dividing by a negative, we must flip the sign.

Hence,
$a < - 3$

Additonal note:
This solution makes sense because of the following reason: when a number that has been made negative is bigger than 3, the number itself must be smaller than -3 (when we add an extra minus sign to -3, it becomes 3; so every number smaller than -3 will become bigger than 3 when we add another minus sign).

~ Hope this helps you!