Worksheet: Complements of Sets Using Venn Diagrams

In this worksheet, we will practice using Venn diagrams to find the complement of a set.

Q1:

Using the Venn diagram, find 𝑋.

  • A{3,9,7}
  • B{1,6,8}
  • C{3,9,7,1,6,8}
  • D

Q2:

Find 𝑋 using the Venn diagram.

  • A{8,9,4,6,7}
  • B{1,2,3,5,7,8,9}
  • C{1,2,4,6,7,8,9}
  • D{8,9,3,5,7}

Q3:

Use the Venn diagram below to find (𝑋𝑌).

  • A{5,4,1,9}
  • B{8,7,6}
  • C{5,4,1,9,8,7,6}
  • D
  • E{1,9,8,7,6}

Q4:

Use the Venn diagram below to find (𝑋𝑌).

  • A{6,1}
  • B{3,4,5,7,8}
  • C
  • D{3,4}
  • E{5,7,8}

Q5:

Using the Venn diagram, find 𝑋.

  • A{3,7,9,1,4,6,5}
  • B{8,2,9,1,4}
  • C{9,1,4}
  • D{3,7,9,1,4}
  • E{3,7}

Q6:

Use the Venn diagram below to find 𝑋.

  • A{1,2,5,3,7}
  • B{6,4,5,3,7}
  • C{5,3,7}
  • D{6,4,1,2}

Q7:

Use the given Venn diagram to find .

  • A
  • B{5,9,1,4}
  • C{8,3,5,9,2,6,1,4}
  • D{8,3,5,9,2,6}

Q8:

Using the Venn diagram, find (𝑋).

  • A{9,3,5}
  • B{2,6,4,9,3,5}
  • C
  • D{2,6,4}

Q9:

Using the Venn diagram, find (𝑋𝑌).

  • A{5,1,9,3,7}
  • B{9,3,7}
  • C{6,8,4,2}
  • D{6,8,5,1,4,2}
  • E{6,8,9,3,7,4,2}

Q10:

Use the Venn diagram below to find (𝑋𝑋).

  • A
  • B{8,9,3}
  • C{8,9,3,5,2,0}
  • D{5,2,0}

Q11:

Use the Venn diagram below to find (𝑋𝑌).

  • A{2,6,3,5}
  • B{8,9}
  • C{7,4,1,2,6,3,5}
  • D{7,4,1}

Q12:

Use the given Venn diagram to find (𝑋𝑌𝑍).

  • A
  • B{7,0,11,3,10,1,9,4,8}
  • C{7,0,11,3,10,1,9,4,8,6,2}
  • D{7,0,10,1,4,8,6,2}

Q13:

Use the given Venn diagram to find (𝑋𝑌𝑍).

  • A
  • B{1,9,11}
  • C{1,9,11,8,6}
  • D{8,6}

Q14:

Take the universal set to be the set of numbers between, but not including, 1 and 10. Given that 𝑋={7,3,8} and 𝑌={4,9,3}, which Venn diagram represents these sets?

  • A(a)
  • B(c)
  • C(d)
  • D(b)

Q15:

Using the Venn diagram, find 𝑋.

  • A{5,4,9}
  • B{1,3,7}
  • C{5,4,9,1,3,7}
  • D

Q16:

Use the Venn diagram below to find 𝑋.

  • A{8,5,9,2,4}
  • B{6,7,9,2,4}
  • C{9,2,4}
  • D{6,7,8,5}

Q17:

Using the Venn diagram, find (𝑋).

  • A{7,4,8}
  • B{6,2,1,7,4,8}
  • C
  • D{6,2,1}

Q18:

Use the Venn diagram below to find 𝑋𝑋.

  • A{8,3,7,9,6,5}
  • B
  • C{8,3,7}
  • D{9,6,5}

Q19:

Use the Venn diagram below to find 𝑋𝑌.

  • A{3,8,4}
  • B{4,8,3,1,9}
  • C{5,7,2,6,4,8,3}
  • D{5,7,2,6}

Q20:

Using the Venn diagram, find 𝑋𝑌.

  • A{7,4}
  • B{9,8,2}
  • C{7,4,9,8,2}
  • D{5,6,7,4}

Q21:

Find (𝑋𝑌) using the Venn diagram below.

  • A{1,2,3,5,7,8}
  • B{1,7}
  • C{8,2,3,5}
  • D{9,4,6}

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