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Question T/F The range of a function is always a subset of its codomain. T/F The sum of the first n positive integers is n(n+1)/2. T/F If g:A→B, f:B→C are injective functions, so is f∘g. T/F The sum of the squares of the first n positive integers is (n(n+1)(n+2))/3. T/F The power set of a set always has double the cardinality of the set. T/F The power set of the empty set is empty. T/F The complement of the intersection of two sets is the intersection of their complements. T/F If g:A→B, f:B→C are functions and f∘g is a bijection, then f and g must also be bijective. T/F It is possible for a set and its complement to both be empty.

/in /by

Question

T/F The range of a function is always a subset of its codomain.T/F The sum of the first n positive

integers is n(n+1)/2.

T/F If g:A→B, f:B→C are injective functions, so is f∘g.
T/F The sum of the squares of the first n positive integers is (n(n+1)(n+2))/3.

T/F The power set of a set always has double the cardinality of the set.
T/F The power set of the empty set is empty.
T/F The complement of the intersection of two sets is the intersection of their complements.
T/F If g:A→B, f:B→C are functions and f∘g is a bijection, then f and g must also be bijective.
T/F It is possible for a set and its complement to both be empty.

 
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