Question

Select all the points that represent a solution to the linear inequality −2x − 3y ≥ 8.

Select one or more:
A. (-9, 8)
B. (-4, 0)
C. (-2, 5)
D. (0, -3)
E. (7, -1)
F. (-3, -2)

Answer 1

B, D and F

Step-by-step explanation:

A(- 9, 8 ) : 18 - 24 = - 6 < 8 not a solution

B(- 4, 0 ) : 8 - 0 = 8 = 8 is a solution

C(- 2, 5) : 8- 15 = - 7 not a solution

D(0, - 3 ) : 0 + 9 = 9 is a solution

E(7, - 1 ) : - 14 + 3 = - 11 not a solution

F(- 3, - 2 ) : 6 + 6 = 12 is a solution

Answer 2

B, D and F

to test for a solution, substitute the coordinates of the given point and if the inequality is true then the point is a solution

A(- 9, 8 ) : 18 - 24 = - 6 < 8 not a solution

B(- 4, 0 ) : 8 - 0 = 8 = 8 hence a solution

C(- 2, 5) : 8- 15 = - 7 not a solution

D(0, - 3 ) : 0 + 9 = 9 hence a solution

E(7, - 1 ) : - 14 + 3 = - 11 not a solution

F(- 3, - 2 ) : 6 + 6 = 12 hence a solution