Question

Which ordered pair makes both inequalities true y x 1 YX?

Answer 1

The ordered pair which makes both inequalities true is (-2, 2).

It is given that inequalities are

y < -x + 1 and y > x

For  y < -x + 1

Substituting every ordered pair,

1) (-3, 5)

⇒ 5 < - (-3) + 1

⇒ 5 < 3 + 1

⇒ 5 < 4 is false

2) (-2, 2)

⇒ 2 < -(-2) + 1

⇒ 2 < 2 + 1

⇒ 2 < 3 is true

3) (-1, -3)

⇒ -3 < - (-1) + 1

⇒ -3 < 1 + 1

⇒ -3 < 2 is true

4) (0, -1)

⇒ -1 < -0 + 1

⇒ -1 < 1 is true

Now , for  y > x

1) (-3, 5)

⇒ 5 > -3 is true

2) (-2, 2)

⇒ 2 > -2 is true

3) (-1, -3)

⇒ -3 > -1 is false

4) (0, -1)

⇒ -1 > 0 is false

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

To know more about Inequalities here

brainly.com/question/11612965

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