Question

10 which ordered pair is a solution to the system of inequalities shown?
$x - 4y \geq 0$
$x - y < -1$
a) (0, 2) they wanted to get attention
b) (-3, 8) everyone else was doing it
c) (2, 5) they were bored
d) (-7, -4) they were dared to do it
e) (6, -1) they were raising money

Explanation:

Step1: Test option A (0,2)

First inequality: $0 - 4(2) = -8 \geq 0$? No.

Step2: Test option B (-3,8)

First inequality: $-3 - 4(8) = -35 \geq 0$? No.

Step3: Test option C (2,5)

First inequality: $2 - 4(5) = -18 \geq 0$? No.

Step4: Test option D (-7,-4)

First inequality: $-7 - 4(-4) = 9 \geq 0$? Yes. Second inequality: $-7 - (-4) = -3 < -1$? Yes.

Step5: Test option E (6,-1)

Second inequality: $6 - (-1) = 7 < -1$? No.

Answer:

D) (-7, -4)