the solutions to the inequality y > -3x + 2 are shaded on the graph. which point is a solution? (0, 2) (2…
the solutions to the inequality y > -3x + 2 are shaded on the graph. which point is a solution? (0, 2) (2, 0) (1, -2) (-2, 1)
Answer
Explanation:
Step1: Substitute (0, 2)
Substitute (x = 0) and (y=2) into (y>-3x + 2). We get (2>-3\times0 + 2), which simplifies to (2>2), false.
Step2: Substitute (2, 0)
Substitute (x = 2) and (y = 0) into (y>-3x + 2). We get (0>-3\times2+2), so (0>-6 + 2), (0>-4), true.
Step3: Substitute (1, -2)
Substitute (x = 1) and (y=-2) into (y>-3x + 2). We get (-2>-3\times1+2), so (-2>-3 + 2), (-2>-1), false.
Step4: Substitute (-2, 1)
Substitute (x=-2) and (y = 1) into (y>-3x + 2). We get (1>-3\times(-2)+2), so (1>6 + 2), (1>8), false.
Answer:
(2, 0)