:the solution to which inequality is shown? a. y + 5 > –2 b. y + 5 ≥ –2 c. y + 5 < –2 d. y + 5 ≤ –2

You see that the first circle is between -10 and -5. This means that part of the inequality must be between these two values. In addition, the open circle means that the inequality is either less than or greater than, but not equal to. This rules out both B and D. Since the arrow is pointing to the right, this means that the inequality is greater than. Now let's look for the inequality with a value greater than a value between -10 and -5. 

A.
y+5>-2
y>-7

C.
y+5<-2
y<-7

The one with greater than is A so that is your answer.