the solutions to the inequality y ≤ 2x - 4 are shaded on the graph. which point is a solution? (-1, 1) (1…
the solutions to the inequality y ≤ 2x - 4 are shaded on the graph. which point is a solution? (-1, 1) (1, -1) (3, 2) (2, 3)
Answer
Explanation:
Step1: Substitute (-1, 1)
Substitute (x=-1) and (y = 1) into (y\leq2x - 4). We get (1\leq2\times(-1)-4), i.e., (1\leq-2 - 4), (1\leq-6) which is false.
Step2: Substitute (1, -1)
Substitute (x = 1) and (y=-1) into (y\leq2x - 4). We get (-1\leq2\times1-4), i.e., (-1\leq2 - 4), (-1\leq-2) which is false.
Step3: Substitute (3, 2)
Substitute (x = 3) and (y = 2) into (y\leq2x - 4). We get (2\leq2\times3-4), i.e., (2\leq6 - 4), (2\leq2) which is true.
Step4: Substitute (2, 3)
Substitute (x = 2) and (y = 3) into (y\leq2x - 4). We get (3\leq2\times2-4), i.e., (3\leq4 - 4), (3\leq0) which is false.
Answer:
(3, 2)