Question

Is (0,0) a solution to this system?

Answer 1

A. Yes, (0,0) satisfies both inequalities.

Explanation:

The given inequalities are;

`y\ge x^2+x-4`

and

`y\:<\:x^2+2x+1`

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;

`0\ge 0^2+0-4` This implies that;
`0\ge-4`; True

and

`0\:<\:0^2+2(0)+1` This implies that;
`0\:<\:1`: True

Since (0,0) satisfies the two systems, it is a solution.

The correct choice is A.