Question

Which ordered pair makes both inequalities true?

y < –x + 1

y > x

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





(–3, 5)
(–2, 2)
(–1, –3)
(0, –1)

Answer 1

Answer: The region that satisfies both inequalities is the shaded area that is above the line y = x and below the line y = -x + 1. One point that lies in this region is (0, 0), which satisfies both inequalities because 0 is greater than negative x (which is also 0) and less than x + 1 (which is 1). So the ordered pair (0, 0) makes both inequalities true.

Explanation: