On a coordinate plane, a solid straight line has a negative slope and goes through (0, 1) and (1, 0). Everything to the left of the line is shaded.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)
Accepted Solution
A:
Answer:(3,-2)Step-by-step explanation:we know thatIf a ordered pair is a solution of the inequality, then the ordered pair must satisfy the inequalitywe have[tex]y \leq -x+1[/tex]Verify each casecase A) (2, 3)[tex]3 \leq -2+1[/tex][tex]3 \leq -1[/tex] ----> is not truethereforeThe ordered pair is not a solutioncase B) (3,-2)[tex]-2 \leq -3+1[/tex][tex]-2 \leq -2[/tex] ----> is truethereforeThe ordered pair is solutioncase C) (2,1)[tex]1 \leq -2+1[/tex][tex]1 \leq -1[/tex] ----> is not truethereforeThe ordered pair is not solutioncase D) (-1,3)[tex]3 \leq 1+1[/tex][tex]3 \leq 2[/tex] ----> is not truethereforeThe ordered pair is not solution