Solution to a system of quadratic inequalities

Question: Inequalities and Functions
The functions f(x) = x2 – 3 and g(x) = –x2 + 2 are shown on the graph.Explain how to modify the graphs of f(x) and g(x) to graph the solution set to the following system of inequalities. How can the solution set be identified?y ≤ x2 – 3y › –x2 + 2

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Answered By:

Jadran L.
99th Percentile Tutor

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Written Explanation:

The solution of the first inequality is all points on or below the graph of f(x). The solution to the second inequality is all points above the graph of g(x). The solution to this system of inequalities is the overlap of the solutions for each individual inequalities, as you can see in my video.

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