Set Theory Exercises And Solutions Pdf -

– Draw a Venn diagram for three sets ( A, B, C ) and shade ( (A \cap B) \cup (C \setminus A) ).

He handed each student a scroll. On it were exercises that grew from simple membership tests to the paradoxes that lurked at the foundations of mathematics. “Solve these,” he said, “and the keys shall be yours.” set theory exercises and solutions pdf

– Given ( U = 1,2,3,4,5,6,7,8,9,10 ), ( A = 1,2,3,4,5 ), ( B = 4,5,6,7,8 ). Find: (a) ( A \cup B ) (b) ( A \cap B ) (c) ( A \setminus B ) (d) ( B^c ) (complement) – Draw a Venn diagram for three sets

– How many elements in ( \mathcalP(A \times B) ) if ( |A| = m, |B| = n )? “Solve these,” he said, “and the keys shall be yours

– Show that ( \mathbbR ) is uncountable (sketch Cantor’s diagonal argument).