Show that if A and B are sets with the same cardinality, then |A| ? |B| and |A| ? |B|

SOLUTIONStep 1In this problem we have to show that if A and B are sets with the same cardinality, then |A| |B| and |B| |A|.Step 2It is said that A and B are sets of same cardinality.Any 2 finite sets with same number of elements(cardinality) can be put in an one-to-one(injective) correspondence.Therefore a function is injective.Step 3By definition of cardinality , if there is injection (one to one relation) from A to B then the cardinality of...