Question

9 which ordered pair is a solution to the system of inequalities shown?
$x - y > 3$
$2x + 7y < 42$
a) (0, 4) eating twizzlers
b) (3, -6) playing saxophones
c) (8, 5) posting on instagram
d) (-1, 4) singing show tunes
e) (-3, -2) telling math jokes

Explanation:

Step1: Test option A (0,4)

First inequality: $0 - 4 = -4 > 3$? No. Skip.

Step2: Test option B (3,-6)

First inequality: $3 - (-6) = 9 > 3$? Yes.
Second inequality: $2(3) + 7(-6) = 6 - 42 = -36 < 42$? Yes.

Step3: Verify other options (optional)

Option C: $8 - 5 = 3 > 3$? No.
Option D: $-1 - 4 = -5 > 3$? No.
Option E: $-3 - (-2) = -1 > 3$? No.

Answer:

B) (3, -6) playing saxophones