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

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

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