Respuesta :

No.

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

Answer:

The point [tex](0,0)[/tex] is not a solution of the system of inequalities

Step-by-step explanation:

we have

[tex]y\leq x^{2} -4[/tex] -----> inequality A

[tex]y> 2x-1[/tex] -----> 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 [tex]x=0, y=0[/tex]

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

Inequality A

[tex]0\leq 0^{2} -4[/tex]

[tex]0\leq -4[/tex] -------> is not true

therefore

The point [tex](0,0)[/tex] is not a solution of the system of inequalities