Question

Which ordered pair does not satisfy the system?

y <-2x + 9 and y > 3/4 x - 2
A. (3, -2)
B. (2, 3)
C. (-1, 4)
D. (-1, -1)

Answer 1

Plug in the values of x and y for each of the systems of equations.

(3,-2)
-2<-2(3)+9
-2<3. That works.
-2>(3/4)(3)-2
-2>(1/4) That doesn't work, so (3, -2) is out.

(2,3)
3<-2(2)+9
3<5 That works.
3>(3/4)(2)-2
3>(-1/2) That also works, so (2,3) is okay.

(-1,4)
4<-2(-1)+9
4<11 That's true.
4>(3/4)(-1)-2
4>(-11/4) That works too, so (-1,4) works.

(-1,-1)
-1<-2(-1)+9
-1<11 True.
-1>(3/4)(-1)-2
-1>(-11/4) That works, so (-1,-1) is in.

The only one that doesn't work is the first one, then.

Answer 2

So its b,c,d?

Answer 3

it's option A

Answer 4

yep. it's A. I have this question on my study guide. :)