– Which of the following are equal to the empty set? (a) ( ) (b) ( \emptyset ) (c) ( x \in \mathbbN \mid x < 1 )
2.1: ( \emptyset, 1, 2, 3, 1,2, 1,3, 2,3, 1,2,3 ) → ( 2^3 = 8 ) subsets. 2.2: (a) T, (b) F (empty set has no elements), (c) T, (d) T. Chapter 3: Set Operations Focus: Union, intersection, complement, difference, symmetric difference. set theory exercises and solutions pdf
– Explain Russell’s paradox using the set ( R = x \mid x \notin x ). Why is this not a set in ZFC? – Which of the following are equal to the empty set
– Let ( A = 1, 2, 3 ). Write all subsets of ( A ). How many are there? – Let ( A = 1, 2, 3 )
– If ( A = a,b ), ( B = 1,2,3 ), list ( A \times B ) and ( B \times A ).