Question

Which ordered pair makes both inequalities true?

A) y = -x + 1
B) y;x
C) ( -3,5)
D) (-2,2) (-1,-3) (0,-1)

Answer 1

To find the ordered pair that makes both inequalities true, we need to substitute the x and y values in each inequality and check if the inequality holds. The correct ordered pair that makes both inequalities true is (-2,2).

Step-by-step explanation:

To find the ordered pair that makes both inequalities true, we need to substitute the x and y values in each inequality and check if the inequality holds.

Let's substitute the ordered pairs from option C:

For the inequality y = -x + 1:

Substituting (-3,5):
y = -(-3) + 1 = 3 + 1 = 4
4 is not equal to 5, so (-3,5) does not make the inequality true.

For the inequality y < x:

Substituting (-3,5):
5 < -3
5 is not less than -3, so (-3,5) does not make the inequality true.

Therefore, none of the ordered pairs in option C make both inequalities true.

Let's check the ordered pairs in option D:

For the inequality y = -x + 1:

Substituting (-2,2):
y = -(-2) + 1 = 2 + 1 = 3
3 is equal to 2, so (-2,2) makes the inequality true.

For the inequality y < x:

Substituting (-2,2):
2 < -2
2 is not less than -2, so (-2,2) does not make the inequality true.

Therefore, the correct ordered pair that makes both inequalities true is (-2,2).