Question

Which ordered pair makes both inequalities true? y > –2x + 3 y < x – 2 (0,0) (0,–1) (1,1) (3,0)

Answer 1

The answer is (3,0).

Answer 2

(3,0)

Explanation:

Given system of inequalities,

y > -2x + 3

y < x - 2

At (0,0),

0 > -2(0) + 3 ( False )

0 < 0 - 2 ( False )

At (0, -1),

- 1 > -2(0) + 3 ( False )

-1 < 0 - 2 ( False )

At (1, 1),

1 > -2(1) + 3 ( False )

1 < 1 - 2 ( False )

At (3, 0),

0 > -2(3) + 3 ( True )

0 < 3 - 2 ( True )

Hence, the order pair (3, 0) makes both inequalities true.

Last option is correct.