Answer:
A. Yes, (0,0) satisfies both inequalities.
Step-by-step explanation:
The given inequalities are;
[tex]y\ge x^2+x-4[/tex]
and
[tex]y\:<\:x^2+2x+1[/tex]
For (0,0) to be a solution to the given system of inequalities then it must satisfy both inequalities.
We substitute (0,0) into the system of inequalities to obtain;
[tex]0\ge 0^2+0-4[/tex] This implies that; [tex]0\ge-4[/tex]; True
and
[tex]0\:<\:0^2+2(0)+1[/tex] This implies that; [tex]0\:<\:1[/tex]: True
Since (0,0) satisfies the two systems, it is a solution.
The correct choice is A.
