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MathNet 2022-part-04 — 197 problems (EN–VI) Question 121

Math Olympiad Vault · MathNet 2022-part-04 — 197 problems (EN–VI)

Question 121

Let $f(x) = x^2 - 6x + 5$. Draw on the plane the set of pairs $(x, y)$ that satisfy the following system of inequalities
$$
\begin{cases}
f(x) + f(y) \leq 0 \\
f(x) - f(y) \geq 0
\end{cases} .
$$