Question

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 you identify the solution? y > x2 – 2y ≥ –x2 + 5

Answer 1

Explanation:

The only modification we have to do is to change = to > and = to ≥, in this way we obtain two inequalities.

Now, since they are the > and ≥ signs, it means that they are the values below y, so in both cases, we must shade the values above the line.

The solution is identified where the shaded regions of each line intersect, just like this:

That is to say that the solution would be the dark violet shaded section with black lines