Which ordered pairs are in the solution set of the system of linear inequalities?

y > - 1/2x

y < 1/2x + 1

A (5, - 2), (3, 1), (-4, 2)

B (5, - 2), (3, - 1), (4, - 3)

C (5, - 2), (3, 1), (4, 2)

D (5, - 2), (-3, 1), (4, 2)

The solution set of C works for both equations.

You can find this by looking for true statements when you put each of the ordered pairs into each of the equations.

Ordered Pair #1 (5, - 2)

y > - 1/2x

-2> - 1/2 (5)

-2> - 2.5 (TRUE)

y < 1/2x + 1

-2 < 1/2 (5) + 1

-2 < 2.5 + 1

-2 < 3.5 (TRUE)

Ordered Pair #2: (3, 1)

y > - 1/2x

1 > - 1/2 (3)

1> - 1.5 (TRUE)

y < 1/2x + 1

1 < 1/2 (3) + 1

1 < 1.5 + 1

1 < 2.5 (TRUE)

Ordered Pair #3: (4,2)

y > - 1/2x

2 > - 1/2 (4)

2 > - 2 (TRUE)

y < 1/2x + 1

2 < 1/2 (4) + 1

2 < 2 + 1

2 < 3 (TRUE)