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Questions and Answers
Which operations are defined in the algebra of sets?
Which operations are defined in the algebra of sets?
- Addition, subtraction, and multiplication
- Integration, differentiation, and limit
- Union, intersection, and complementation (correct)
- Division, exponentiation, and modulo
What is the set-theoretic analogue of arithmetic addition and multiplication?
What is the set-theoretic analogue of arithmetic addition and multiplication?
- Set difference and symmetric difference
- Set inclusion and power set
- Set union and intersection (correct)
- Set complementation and set equality
What forms a Boolean algebra in the context of sets?
What forms a Boolean algebra in the context of sets?
- Any non-empty set closed under complementation operation
- Any set of sets closed under the set-theoretic operations (correct)
- Any finite set closed under intersection operation
- Any infinite set closed under union operation
Which relation in set theory is analogous to the arithmetic relation 'less than or equal'?
Which relation in set theory is analogous to the arithmetic relation 'less than or equal'?
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What provides systematic procedures for evaluating expressions involving set operations?
What provides systematic procedures for evaluating expressions involving set operations?
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