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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)

Respuesta :

josiefranco05

Answer:

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

Answer:

Option B.

Step-by-step explanation:

The given inequalities are

[tex]y<-x+1[/tex]

[tex]y>x[/tex]

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

Check the above inequalities for each given ordered pair.

For (-3,5),

[tex](5)<-(-3)+1\Rightarrow 5<4[/tex] (False)

For (-2,2),

[tex](2)<-(-2)+1\Rightarrow 2<3[/tex] (True)

[tex]y>x\Rightarrow 2>-2[/tex] (True)

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

For (-1,-3),

[tex]y>x\Rightarrow -3>-1[/tex] (False)

For (0,-1),

[tex]y>x\Rightarrow -1>0[/tex] (False)

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

Therefore, the correct option is B.

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