Question

4 which ordered pair is a solution to the system of inequalities shown?
$y > 3x + 2$
$y > -x + 6$
a) (6, -4) bruno mars
b) (9, 0) selena gomez
c) (-2, 1) rihanna
d) (0, 7) pharrell
e) (-5, -2) elvis presley

Explanation:

Step1: Test option A (6,-4)

First inequality: $-4 > 3(6)+2 = 20$? No.
Second inequality: $-4 > -6+6=0$? No.

Step2: Test option B (9,0)

First inequality: $0 > 3(9)+2=29$? No.
Second inequality: $0 > -9+6=-3$? Yes, but first fails.

Step3: Test option C (-2,1)

First inequality: $1 > 3(-2)+2=-4$? Yes.
Second inequality: $1 > -(-2)+6=8$? No.

Step4: Test option D (0,7)

First inequality: $7 > 3(0)+2=2$? Yes.
Second inequality: $7 > -0+6=6$? Yes.

Step5: Test option E (-5,-2)

First inequality: $-2 > 3(-5)+2=-13$? Yes.
Second inequality: $-2 > -(-5)+6=11$? No.

Answer:

D) (0, 7) Pharell