Question

Is ( 0,0) a solution to this system? y<=x^2-4 y>2x-1?

Answer 1

The point
`(0,0)` is not a solution of the system of inequalities

Explanation:

we have

`y\leq x^(2) -4` -----> inequality A

`y> 2x-1` -----> inequality B

we know that

If a ordered pair is a solution of the system of inequalities

then

the ordered pair must be satisfy the inequalities of the system

Verify

For
`x=0, y=0`

substitute the value of x and the value of y in the inequalkity A and in the inequality B

Inequality A

`0\leq 0^(2) -4`

`0\leq -4` -------> is not true

therefore

The point
`(0,0)` is not a solution of the system of inequalities

Answer 2

No.

Your proposed solution does not satisfy the first inequatlity.
0 ≤ 0 - 4 . . . . . not true