Question

Which ordered pair is a solution to the system of inequalties?
y > –x
y ≤ x + 1

Answer 1

B) (4,–1)

Explanation:

A graph can help you figure this out. The point (4, -1) is in the doubly-shaded area, so is a solution to this system.

Answer 2

B) (4, -1)

Explanation:

A violates the rule of y <= x + 1, because 3 > 1 + 1

C violates the rule of y <= x + 1, because 5 > 0 + 1

D violates the rule of y > -x, because 0 < -(-4) = 4

B conforms to both rules: -1 > -4 and -1 <= 4 + 1.