MATH SOLVE

8 months ago

Q:
# is (0,0) a solution to this system y> x2+x-4 y <x2+2x+1

Accepted Solution

A:

Answer:Yes, the ordered pair (0,0) is a solution of the systemStep-by-step explanation:we have[tex]y\geq x^{2}+x-4[/tex] ----> inequality A[tex]y < x^{2} +2x+1[/tex] ----> inequality Bwe know thatIf a ordered pair is a solution of the system of inequalities, then the ordered pair must satisfy both inequalitiesVerifyFor x=0,y=0Inequality A[tex]0\geq (0)^{2}+0-4[/tex][tex]0\geq -4[/tex] ----> is truesoThe ordered pair satisfy inequality AInequality B[tex]0 < (0)^{2} +2(0)+1[/tex][tex]0 < 1[/tex] ----> is truesoThe ordered pair satisfy inequality BthereforeThe ordered pair (0,0) is a solution of the system