Worksheet: Applications of Venn Diagrams

In this worksheet, we will practice performing different operations on sets using Venn diagrams.

Q1:

Using the Venn diagram, find 𝑈𝑋.

  • A{6,2,9}
  • B{6,2}
  • C{6,2,7}
  • D{6,2,7,9}
  • E{7,9}

Q2:

Using the Venn diagram, find 𝑌𝑋.

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

Q3:

Using the Venn diagram, find 𝑋𝑌.

  • A{3,0,8}
  • B{2,9}
  • C{5,1}
  • D{6,5,1}

Q4:

Using the Venn diagram, find 𝑌𝑋.

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

Q5:

Using the Venn diagram, find 𝑋𝑌.

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

Q6:

Using the Venn diagram, find 𝑋𝑌.

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

Q7:

Using the Venn diagram, find 𝑋𝑌.

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

Q8:

Use the Venn diagram below to find 𝑋𝑌𝑍.

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

Q9:

Use the given Venn diagram to find 𝑋𝑌𝑌𝑍.

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

Q10:

Use the Venn diagram below to find (𝑋𝑌)𝑍.

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

Q11:

Use the Venn diagram below to find (𝑋𝑍)𝑌.

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

Q12:

Use the Venn diagram below to find (𝑌𝑍)𝑋.

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

Q13:

Using the Venn diagram, find 𝑌𝑋.

  • A{6}
  • B{3,1}
  • C{0,4}
  • D{7,5,9}

Q14:

Use the given Venn diagram to find 𝑋𝑌𝑌𝑍.

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

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