Question

practice interpreting two - variable linear inequalities.
y < 2x + 3
which of the points are solutions to the inequality?
check all that apply.
□ (-3, 3)
□ (-2, -2)
□ (-1, 1)
□ (0, 1)
□ (2, 5)

Explanation:

Step1: Test point (-3, 3)

Substitute $x=-3, y=3$ into $y < 2x+3$:
$3 < 2(-3)+3 \implies 3 < -3$ → False

Step2: Test point (-2, -2)

Substitute $x=-2, y=-2$ into $y < 2x+3$:
$-2 < 2(-2)+3 \implies -2 < -1$ → True

Step3: Test point (-1, 1)

Substitute $x=-1, y=1$ into $y < 2x+3$:
$1 < 2(-1)+3 \implies 1 < 1$ → False

Step4: Test point (0, 1)

Substitute $x=0, y=1$ into $y < 2x+3$:
$1 < 2(0)+3 \implies 1 < 3$ → True

Step5: Test point (2, 5)

Substitute $x=2, y=5$ into $y < 2x+3$:
$5 < 2(2)+3 \implies 5 < 7$ → True

Answer:

B. (-2, -2)
D. (0, 1)
E. (2, 5)