Question

Which ordered pairs make both inequalities true? Select two options.

y < 5x + 2

y > One-halfx + 1

On a coordinate plane, 2 straight lines are shown. The first solid line has a positive slope and goes through (negative 2, 0) and (0, 1). Everything above the line is shaded. The second dashed line has a positive slope and goes through (negative 1, negative 3) and (0, 2). Everything to the right of the line is shaded.
(–1, 3)

(0, 2)
(1, 2)
(2, –1)
(2, 2)

Answer 1

(1, 2) and (2, 2)

Checks:
- (1,2): 2 < 5(1)+2 = 7 (true) and 2 ≥ 1/2(1)+1 = 1.5 (on/above the solid line) (true).
- (2,2): 2 < 5(2)+2 = 12 (true) and 2 ≥ 1/2(2)+1 = 2 (true, on the solid line).