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: Substitute (-3,3) into inequality

$3 < 2(-3) + 3$ → $3 < -3$ (False)

Step2: Substitute (-2,-2) into inequality

$-2 < 2(-2) + 3$ → $-2 < -1$ (True)

Step3: Substitute (-1,1) into inequality

$1 < 2(-1) + 3$ → $1 < 1$ (False)

Step4: Substitute (0,1) into inequality

$1 < 2(0) + 3$ → $1 < 3$ (True)

Step5: Substitute (2,5) into inequality

$5 < 2(2) + 3$ → $5 < 7$ (True)

Answer:

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