Question

Complete the conditional statement. If 2 > -a, then _______.

A.) a < -2
B.) a > 2
C.) a <2
D.) a > -2

Answer 1

D) a>-2. If you divide both sides by a negative, the inequality sign flips direction. So if you didvide by - 1 you get - 2<a, which is D

Answer 2

D.
`a>-2`

Explanation:

We have been given a conditional statement. We are asked to complete our given statement.

If
`2>-a`, then ______.

First of all, we will switch sides of our given inequality as:

`-a<2`

To solve for 'a', we will divide both sides of our inequality by negative 1. We know that multiplying or dividing by a negative sign flips inequality sign.

`(-a)/(1)>(2)/(-1)`

`a>-2`

Therefore, our complete statement would be If
`2>-a`, then
`a>-2`.