Question

identifying solutions to an inequality
which of the points are solutions to the inequality?
check all that apply
□ (-2, -5)
□ (0, -4)
□ (1, 1)
□ (3, 5)
□ (5, 5)
the graph shows a line with equation y = 2x - 4 on a coordinate plane with x-axis from -4 to 4 and y-axis from -4 to 4.

Explanation:

Step1: Substitute (-2, -5) into inequality

$y > 2x - 4$
$-5 > 2(-2) - 4$
$-5 > -4 - 4$
$-5 > -8$ (True)

Step2: Substitute (0, -4) into inequality

$y > 2x - 4$
$-4 > 2(0) - 4$
$-4 > 0 - 4$
$-4 > -4$ (False)

Step3: Substitute (1, 1) into inequality

$y > 2x - 4$
$1 > 2(1) - 4$
$1 > 2 - 4$
$1 > -2$ (True)

Step4: Substitute (3, 5) into inequality

$y > 2x - 4$
$5 > 2(3) - 4$
$5 > 6 - 4$
$5 > 2$ (True)

Step5: Substitute (5, 5) into inequality

$y > 2x - 4$
$5 > 2(5) - 4$
$5 > 10 - 4$
$5 > 6$ (False)

Answer:

(-2, -5), (1, 1), (3, 5)