Question

Which ordered pair makes both inequalities true for y> -2x + 3 and y ≤ x - 2

Answer 1

Explanation:

Which ordered pair makes both inequalities true?

y > –2x + 3

y < x – 2

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

(0,0)

(0,–1)

(1,1)

(3,0) would be the correct answer.

Answer 2

The pair makes both inequalities (3,0) is true

just substitute and see which one comes out true

y > -2x + 3.....(3,0)

0 > -2(3) + 3

0 > -6 + 3

0 > -3 (true)

y < x - 2...(3,0)

0 < 3 - 2

0 < 1 (also true)