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