Question

Which ordered pair makes both inequalities true? y < –x + 1 y > x On a coordinate plane, 2 straight lines are shown. The first dashed line has a positive slope and goes through (0, 0) and (2, 2). Everything to the left of the line is shaded. The second solid line has a negative slope and goes through (0, 1) and (1, 0). Everything to the left of the line is shaded. (–3, 5) (–2, 2) (–1, –3) (0, –1)

Answer 1

It's (-2,2) I just took the test

Answer 2

Option B.

Explanation:

The given inequalities are

`y<-x+1`

`y>x`

We need to find the ordered pair which makes both inequalities true.

Check the above inequalities for each given ordered pair.

For (-3,5),

`(5)<-(-3)+1\Rightarrow 5<4` (False)

For (-2,2),

`(2)<-(-2)+1\Rightarrow 2<3` (True)

`y>x\Rightarrow 2>-2` (True)

So, both inequalities are true for (-2,2). Option B is correct.

For (-1,-3),

`y>x\Rightarrow -3>-1` (False)

For (0,-1),

`y>x\Rightarrow -1>0` (False)

Both inequalities are not true for (-3,5), (-1,-3) and (0,-1).

Therefore, the correct option is B.