Question

1. determine which ordered pairs are part of the solution set for the inequality. 3x - 2y < 5 (4, -4) (3, 5) (5, 2) (-3, 4)

Explanation:

Step1: Test pair (4, -4)

Substitute $x=4, y=-4$ into $3x-2y < 5$:
$3(4) - 2(-4) = 12 + 8 = 20$; $20 < 5$ is false.

Step2: Test pair (3, 5)

Substitute $x=3, y=5$ into $3x-2y < 5$:
$3(3) - 2(5) = 9 - 10 = -1$; $-1 < 5$ is true.

Step3: Test pair (5, 2)

Substitute $x=5, y=2$ into $3x-2y < 5$:
$3(5) - 2(2) = 15 - 4 = 11$; $11 < 5$ is false.

Step4: Test pair (-3, 4)

Substitute $x=-3, y=4$ into $3x-2y < 5$:
$3(-3) - 2(4) = -9 - 8 = -17$; $-17 < 5$ is true.

Answer:

$(3, 5)$ and $(-3, 4)$