Question

Which point falls into the solution of the system of inequalities below?

8x + 6y > 24
-x + 4y < -16

(3,-1)
(-3,10)
(-2,-13)
(10,20)
(20,-10)​

Answer 1

(20,-10)​

Explanation:

iI we substitute (20,-10)​ into the two inequalities ,we get :

• 8×(20) + 6×(-10) = 100 and 100 > 24

• (-20) + 4×(-10) = -60 and -60 < -16

Then

(20,-10)​ falls into the solution of the system of inequalities :

8x + 6y > 24

-x + 4y < -16