Q:

Which ordered pair is a solution to the system of inequalities?look at the picture for the inequalities and solution

Accepted Solution

A:
Answer:(1,3)Step-by-step explanation:we have[tex]y> -2[/tex] -----> inequality A[tex]x+y \leq 4[/tex] -----> inequality BRemember thatIf a ordered pair is a solution of the system of inequalities, then the ordered pair must satisfy both inequality of the systemVerify each ordered paircase 1) we have(-2,-3)Verify inequality A[tex]-3> -2[/tex] -----> is not truethereforeThe ordered pair is not a solution of the system of inequalitiescase 2) we have(0,-4)Verify inequality A[tex]-4> -2[/tex] -----> is not truethereforeThe ordered pair is not a solution of the system of inequalitiescase 3) we have(1,3)Verify inequality A[tex]3> -2[/tex] -----> is  trueVerify inequality B[tex]1+3 \leq 4[/tex][tex]4 \leq 4[/tex] -----> is truethereforeThe ordered pair is a solution of the system of inequalitiescase 4) we have(1,5)Verify inequality A[tex]5> -2[/tex] -----> is  trueVerify inequality B[tex]1+5 \leq 4[/tex][tex]6 \leq 4[/tex] -----> is not truethereforeThe ordered pair is not a solution of the system of inequalities