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