Question

The graph of y > 1/2x - 2

is shown. Which set contains only points that satisfy the inequality?

A) {(6, 1), (-1, -3), (4, 4)}

B) {(1, -1), (-3, -3), (2, 4)}

C) {(1, -1), (-3, -3), (4, -2)}

D) {(-1, -3), (-3, -3), (2, 4)}

Answer 1

The answer to your question is letter B because the three points satisfy the inequality.

Explanation:

Process

1.- Evaluate each point in the inequality, if the point satisfies the inequality that is the answer

y > 1/2x - 2

A) {(6, 1), (-1, -3), (4, 4)}

1 > 0.5(6) - 2

1 > 3 - 2

1 > 1 This option is wrong because

1 = 1

-3 > 0.5(-1) -2

-3 > -0.5 - 2

-3 > -2.5 This option is also wrong -3 < -2.5

I do not evaluate point A because the first two points do not satisfy the inequality.

B) {(1, -1), (-3, -3), (2, 4)}

-1 > 0.5(1) - 2

-1 > 0.5 - 2

-1 > -1.5 This option is correct

-3 > 0.5(-3) -2

-3 > -1.5 - 2

-3 > -3.5 This option is correct

4 > 0.5(2) -2

4 > 1 - 2

4 > -1 This option is correct

I do not evaluate points c and d because the correct answer is letter B.

C) {(1, -1), (-3, -3), (4, -2)}

D) {(-1, -3), (-3, -3), (2, 4)}