Show that if A is an infinite set, then whenever B is a set. A ? B is also an infinite set.

Solution:Step1To findWe have to show that if A is an infinite set, then whenever B is a set. A B is also an infinite set.Step2The union of sets A and B can be written asWe have to take all possible cases of set B.Case1:-Suppose A be an infinite set and B= then =AHence, A is an infinite set.Case2:-Assume B=A then is...