Question

Select all of the ordered pairs below that satisfy the linear inequality y < 2x + 2.

Answer 1

We will determine the ordered pairs that satisfy the inequality as follows:

*(-3, -6):

$-6<2(-3)+2\Rightarrow-6<-4$

This is true, so the first ordered pair satisfies it.

*(3, 9):

$9<2(3)+2\Rightarrow9<8$

This is false, so the second ordered pair does not satisfy the inequality.

*(-1, -2):

$-2<2(-1)+2\Rightarrow-2<0$

This is true, so the third ordered pair satisfies it.

*(2, 4):

$4<2(2)+2\Rightarrow4<6$

This is true, so the fourth ordered pair satisfies it.

*(-2, 1):

$1<2(-2)+2\Rightarrow1<-2$

This is false, so the fifth ordered pair does not satisfy the inequality.

*(0, 2):

$2<2(0)+2\Rightarrow2<2$

This is false, so the sixth ordered pair does not satisfy the inequaltity.