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Let $f(x, y)$ be a function in two variables $x, y$. Then which of the following is true

  1. $\max _{x} \min _{y} f(x, y) \leq \min _{y} \max _{x} f(x, y)$.
  2. $\max _{x} \min _{y} f(x, y) \geq \min _{y} \max _{x} f(x, y)$.
  3. $\max _{x} \min _{y} f(x, y)=\min _{y} \max _{x} f(x, y)$.
  4. $\max _{x} \min _{y} f(x, y)=\min _{y} \max _{x} f(x, y)+\min _{y} \min _{x} f(x, y)$.
  5. None of the above.

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