Question

Which ordered pair makes both inequalities true? y < –x + 1 y > x (–3, 5) (–2, 2) (–1, –3) (0, –1)

Answer 1

The answer is B. (-2, 2).

We know this because it is the only ordered pair that works for both. You would have to try the ordered pair in both equations and look for it to make true statements.

y < -x + 1
2 < -(-2) + 1
2 < 2 + 1
2 < 3 (TRUE)

y > x
2 > -2 (TRUE)

Since both are true, it is the correct set.

Answer 2

option B: (-2,2)

Explanation:

`y<-x+1`

`y>x`

Lets check each ordered pair with each inequality

Plug in the ordered pair (x,y) values in each inequality

(–3, 5)

`5<-(-3)+1`

`5<4` False

`5>-3` True

(–2, 2)

`2<-(-2)+1`

`2<3` True

`2>-2` True

(–1, -3)

`-3<-(-1)+1`

`-3<2`True

`-3>-1` False

(0,-1)

`-1<-(0)+1`

`-1<1`True

`-1>0` False