which inequality is equivalent to -3x+2y>5y+9 A.y > x + 3 B.y> -x - 3 C.y< x - 3 D.y< -x - 3

D. y <-x - 3

Step-by-step explanation:

-3x + 2y > 5y + 9

Subtract 2y from 5y on the other side

5y - 2y = 3y

-3x > 3y + 9

Add 3x and put it the other side

0 > 3x + 3y + 9

Subtract 3y and put it on the other side

0 - 3y = -3y

-3y > 3x + 9

Divide by -3 on both sides

-3y/-3 > 3x + 9/-3

-3y/-3 = y

3x + 9/-3 = -x - 3

y > -x - 3

MOST IMPORTANT STEP OF ALL: Switch the inequality sign around because you divided with a negative number which is -3. That's a rule in inequality.

y < -x - 3

So your final answer is y < -x - 3