Algebra of Sets Quiz

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Questions and Answers

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?

  • 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?

  • 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'?

<p>Subset relation (D)</p> Signup and view all the answers

What provides systematic procedures for evaluating expressions involving set operations?

<p>Algebra of sets (A)</p> Signup and view all the answers

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