Question

Select all of the points which satisfy the linear inequality below.

−2x+3y>4
Select all that apply:

(−1,0)
(−2,−6)
(−1,5)
(−3,−1)

Answer 1

(-1,5)

Explanation:

Substitute (-1,5) into inequality

-2(-1)+3(5)>4

2+15>4

17>4

The rest of the points do not satisfy the inequality.

For (-1,0):

-2(-1)+3(0)>4

2+0>4

2>4 (wrong, should be <)

For (-2,-6):

-2(-2)+3(-6)>4

4+(-18)>4

-14>4 (wrong, should be <)

For (-3,-1):

-2(-3)+3(-1)>4

6+(-3)>4

3>4 (wrong, should be <)