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].