Complement of a Set in Math: Definition & Examples


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question 1 of 3

If U = {11, 12, 13, 14, 15, 16, 17, 18, 19, 20} and A = {12, 13, 14, 20}, what is the complement of A?

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1. Let the universal set U be all the letters of the English alphabet. What is the complement of the empty set? (Note: the empty set is a subset of every set.)

2. Let the universal set U be the set of Mr. Salada's 5th grade class of 17 boys and 13 girls. Let set A be the set of all the girls in Mr. Salada's class, and let set B be the set of all the boys in Mr. Salada's class. Which set has the most elements?

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About This Quiz & Worksheet

This quiz and worksheet combo will test you understanding of complement of a set. You will be quizzed on the definition of a universal set, a subset, an empty set, and elements that make up a set.

Quiz & Worksheet Goals

Asses your understanding of sets and how to perform operations on sets in this quiz and worksheet. Practice questions examine:

  • Identifying a complement of a set
  • Differentiating between a subset and the complement
  • Understanding an empty set

Skills Practiced

  • Making connections - use understanding of the concept of sets
  • Problem solving - use acquired knowledge to solve identifying sets in the practice problems
  • Distinguishing differences - compare and contrast topics from the lesson, such as subset and complement
  • Knowledge application - use your knowledge to answer questions about operations on sets

Additional Learning

For additional information about universal sets and their components, review the assessment Complements of a Set in Math: Definition & Examples. This lesson covers:

  • Universal sets and subsets
  • Complement of a set
  • Venn diagrams
  • Operations on sets