cal180
contestada

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

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

Respuesta :

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:

D. [tex]a>-2[/tex]

Step-by-step explanation:

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

If [tex]2>-a[/tex], then ______.

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

[tex]-a<2[/tex]

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.

[tex]\frac{-a}{1}>\frac{2}{-1}[/tex]

[tex]a>-2[/tex]

Therefore, our complete statement would be If [tex]2>-a[/tex], then [tex]a>-2[/tex].