Question

Which ordered pair does not satisfy the system?
y <-2x + 9 and y > 3/4 x - 2

(3, -2)
(2, 3)
(-1, 4)
(-1, -1)

Answer 1

Solve this by substituting each ordered pair into both equations.

\[-2<-2(3) + 9\]

Which becomes \[-2<3 \] So this is true.

For the other equation.
\[-2>3/4(3) -2\]

Which becomes \[-2>1/4\] This is false.

So the ordered pair (3,-2) does not satisfy both equations.