Respuesta :

Step-by-step explanation:

The given inequalities are :

[tex]y\le x^{2}-1\ .....(1)[/tex]

And

[tex]x>y^{2}-3\ .....(2)[/tex]

We need to draw the graphs for inequalities (1) and (2).

Put the value of y from (1) in (2).

[tex]x>(x^2-1)^{2}-3[/tex]

The attached figure shows the required graph.

Ver imagen Muscardinus

The unshaded portion of the graph represent the solution.

y ≤ x2 – 1 and x > y2 – 3

What is inequality?

Inequality can be define as the relation of equation contains the symbol of ( ≤, ≥, <, >) instead of equal sign in an equation.

[tex]y\leq x^2-1[/tex]
and [tex]x < y^2-3[/tex]
putting y in second equation
[tex]x < \left(\left(x^{2}-1\right)^{2}-3\right)[/tex]
now plotting the graph of the equation attached below

Thus The required graph represent the solution is unshaded portion of the graph


Learn more about inequality here:
brainly.com/question/14098842

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