Min/Max of a function

Question

Can someone answer these, (You can by a LOGICAL Yes or No only, or by a proof).

1)$A \subset B \Rightarrow$

$\min${$f(x)$ s.t $x \in A$}$\le \min${$f(x)$ s.t $x \in B$}

2)$A \subset B \Rightarrow$

$\max${$f(x)$ s.t $x \in A$}$\le \max${$f(x)$ s.t $x \in B$}