Worksheet: Union of Sets Using Venn Diagrams

In this worksheet, we will practice using Venn diagrams to find the union of sets.

Q1:

Using the Venn diagram, find 𝑋𝑌.

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

Q2:

Using the Venn diagram, find 𝑋𝑌.

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

Q3:

Using the Venn diagram, find 𝑋𝑌.

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

Q4:

Use the Venn diagram below to find 𝑌𝑍.

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

Q5:

Use the Venn diagram below to find 𝐵𝐶.

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

Q6:

Using the Venn diagram, find 𝑌𝑈.

  • A{8,5,2,6,0,4,3,9}
  • B{8,5,2,6,0,4}
  • C{8,5,2,6,0,4,3,9,1}
  • D{0,4,2,6}
  • E{8,5,0,4}

Q7:

Using the Venn diagram, find 𝑋𝑍.

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

Q8:

Use the Venn diagram to find {7,9}𝐴.

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

Q9:

Use the Venn diagram to find 𝑋𝑍.

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

Q10:

Find (𝐴𝐵)𝐶 using the Venn diagram.

  • A{1,3,5,6,7,9,10,11}
  • B{1,5,6,7,8,10,11}
  • C{1,3,5,6,7,8,9,10,11}
  • D{1,3,5,6,7,8,9}

Q11:

Use the Venn diagram to find (𝑋𝑌)𝑍.

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

Q12:

Using the Venn diagram, find 𝑋𝑌.

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

Q13:

Find 𝐴𝐵 using the Venn diagram.

  • A{1,2,3,4,5,6,7,9,10}
  • B{0,2,4,7,8,10,11}
  • C{0,1,2,4,5,7,8,10,11}
  • D{0,1,2,3,4,5,6,8,9,11}

Q14:

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}

Q15:

Using the Venn diagram, find 𝑋𝑌.

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

Q16:

Use the Venn diagram to find {9,3}𝐴.

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

Q17:

Use the Venn diagram to find {4,6}𝐴.

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

Q18:

Use the Venn diagram below to find 𝐵𝐶.

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

Q19:

Use the Venn diagram below to find 𝐵𝐶.

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

Q20:

Using the Venn diagram, find 𝑋𝑌.

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

Q21:

Use the Venn diagram below to find 𝑌𝑍.

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

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