Determine whether each of the following statements is true or false. For each false statement, give a

Question:

Determine whether each of the following statements is true or false. For each false statement, give a counterexample.
a) If A and B are infinite sets, then A ∩ B is infinite.
b) If B is infinite and A ⊂ B, then A is infinite.
c) If A ⊂ B with B finite, then A is finite.
d) If A ⊂ B with A finite, then B is finite.