What coordinate is a solution to the inequality? y>2x-7 A.(3,-2) B.(4,1) C.(3,2) D.(5,1)

Answer 1

Put the points in the equation and verify which one is true.

A) (3,-2)

-2 > 2*3 - 7

-2 > -1 False

B) (4,1)

1 > 2*4 - 7

1 > 1 False

C) (3,2)

2 > 2*3 -7

2 > -1 True

D) (5,1)

1 > 2*5 - 7

1 > 3 False

There is only one point that satisfies the inequality. So the correct point is (3,2). So, C is the right answer.

Answer 2

The coordinates are (x,y). Plug them in to determine which is true.

(3,-2)

-2 > 2*3 - 7

-2 > -1 NO.

(4,1)

1 > 2*4 - 7

1 > 1 NO

(3,2)

2 > 2*3 -7

2 > -1 YES

(5,1)

1 > 2*5 - 7

1 > 3 NO

C is the answer.