Worksheet: Intersection of Sets Using Venn Diagrams

In this worksheet, we will practice using Venn diagrams to find intersections between sets.

Q1:

Using the Venn diagram below, find 𝑋𝑌.

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

Q2:

Find the set of elements common to 𝑋, 𝑌, and 𝑍.

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

Q3:

Use or to fill in the gap: The Venn Diagram shows {5,1}(𝑋𝑌).

  • A
  • B

Q4:

Using the Venn diagram below, find 𝑋𝑌.

  • A { 𝑎 , 𝑚 }
  • B { 𝑥 , 𝑛 , 𝑦 , 𝑒 , 𝑘 }
  • C { 𝑥 , 𝑛 , 𝑦 }
  • D { 𝑒 , 𝑘 }
  • E { 𝑥 , 𝑛 , 𝑦 , 𝑎 , 𝑚 , 𝑒 , 𝑘 }

Q5:

Write the set of elements in both 𝑋 and 𝑌.

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

Q6:

Use the Venn diagram below to find 𝑍𝑌.

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

Q7:

Using the Venn diagram, find 𝑍𝑌.

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

Q8:

Write the set of elements in both 𝐴 and 𝐵.

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

Q9:

Using the Venn diagram, find 𝑋𝑈.

  • A
  • B { 5 , 0 }
  • C { 3 , 6 }
  • D { 5 , 0 , 4 , 8 }
  • E { 3 , 6 , 5 , 0 }

Q10:

Using the Venn diagram, find 𝑋𝑍.

  • A { 1 , 5 }
  • B { 0 , 5 }
  • C { 6 , 7 }
  • D { 8 , 3 }
  • E { 0 , 1 }

Q11:

Given the Venn diagram, which of the following represents the set {9,0}?

  • A 𝑌 𝑍
  • B 𝑋 𝑍
  • C 𝑋 𝑍
  • D 𝑋 𝑌
  • E 𝑋 𝑌

Q12:

Using the Venn diagram, find 𝐴𝐵𝐶.

  • A { 2 , 4 }
  • B { 8 }
  • C
  • D { 8 , 2 , 4 }

Q13:

Use or to fill in the gap: The Venn Diagram shows {9,6}(𝑋𝑌).

  • A
  • B

Q14:

Use or to fill in the gap: The Venn Diagram shows 4(𝑋𝑍).

  • A
  • B

Q15:

Use or to fill in the gap: The Venn Diagram shows {7}(𝑌𝑋).

  • A
  • B

Q16:

Use the Venn diagram below to find 𝑋𝑋.

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

Q17:

Use or to fill in the gap: {5}(𝑋𝑌).

  • A
  • B

Q18:

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 }

Q19:

Use or to fill in the gap: The Venn Diagram shows 8(𝑋𝑍).

  • A
  • B

Q20:

Find the set of elements common to 𝑋, 𝑌, and 𝑍.

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

Q21:

Use the Venn diagram below to find 𝑋𝑌.

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

Q22:

Write the set of elements in both 𝐴 and 𝐶.

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

Q23:

Write the set of elements in both 𝑋 and 𝑌.

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

Q24:

Using the Venn diagram, find 𝑋𝑌.

  • A { 8 , 1 }
  • B { 5 , 8 , 1 }
  • C { 3 , 8 , 1 , 9 }
  • D { 3 , 8 , 1 }
  • E { 3 }

Q25:

Use the Venn diagram below to find 𝐶𝐵.

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

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