Question

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

Answer 1

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)