Which of the following points lie in the solution set to the following system of inequalities?y > −3x + 3y > x + 2a(2, −5)b(−2, 5)c(2, 5)d(−2, −5)

Answer:Option c . (2, 5)Step-by-step explanation:we know thatIf a ordered pair lie in the solution set of a system of inequalities, then the ordered pair must satisfy both inequalities of the systemwe have[tex]y > -3x+3[/tex] ----> inequality A[tex]y >x+2[/tex] ----> inequality BVerify each ordered paircase a) (2,-5)Verify inequality A[tex]y > -3x+3[/tex][tex]-5 > -3(2)+3[/tex][tex]-5 > -3[/tex] ----> is not truesoThe point not satisfy inequality AthereforeThe point not lie in the solution set case b) (-2,5)Verify inequality A[tex]y > -3x+3[/tex][tex]5 > -3(-2)+3[/tex][tex]5 > 9[/tex] ----> is not truesoThe point not satisfy inequality AthereforeThe point not lie in the solution set case c) (2,5)Verify inequality A[tex]y > -3x+3[/tex][tex]5 > -3(2)+3[/tex][tex]5 > -3[/tex] ----> is truesoThe point satisfy inequality AVerify inequality B[tex]y >x+2[/tex][tex]5 >2+2[/tex][tex]5 >4[/tex] ---> is truesoThe point satisfy inequality BthereforeThe point lie in the solution set case d) (-2,-5)Verify inequality A[tex]y > -3x+3[/tex][tex]-5 > -3(-2)+3[/tex][tex]-5 > 9[/tex] ----> is not truesoThe point not satisfy inequality AthereforeThe point not lie in the solution set