Worksheet: Difference between Sets Using Venn Diagrams

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

Q1:

Using the Venn diagram, find 𝑈𝑋.

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

Q2:

Write the set of elements in 𝑋 and NOT in 𝑌.

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

Q3:

Using the Venn diagram, find 𝑋𝑍.

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

Q4:

Using the Venn diagram, find 𝑋𝑌.

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

Q5:

Using the Venn diagram, find 𝑢𝑌.

  • A{7,9,5,0,8,1}
  • B{7,9,3,2,8,1}
  • C{5,0}
  • D{8,1}
  • E{3,2,8,1}

Q6:

Use the Venn diagram below to find 𝑋𝑌.

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

Q7:

Using the Venn diagram, find 𝑋𝑌.

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

Q8:

Using the Venn diagram, find 𝑌𝑍.

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

Q9:

Find the set of elements in both 𝐴 and 𝐵 but NOT in 𝐶.

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

Q10:

Using the Venn diagram, find (𝑋𝑌).

  • A{6,0,1,7,3,4}
  • B{6,0,1,7,2,5}
  • C{1,7,3,4,2,5}
  • D{6,0,1,7}
  • E{1,7,3,4}

Q11:

Using the Venn diagram, find 𝑈(𝑋𝑌).

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

Q12:

Using the Venn diagram, find 𝑈(𝑋𝑌).

  • A{8,3,7,2,1,9}
  • B{8,3,0,5,7,2}
  • C{1,9}
  • D{7,2,0,5,1,9}
  • E{1,2}

Q13:

If 𝑋𝑌={5}, 𝑋𝑌={7,3}, and 𝑌𝑋={6}, which Venn diagram represents the sets 𝑋 and 𝑌?

  • A(b)
  • B(c)
  • C(a)
  • D(d)

Q14:

Use the Venn diagram below to find 𝑍𝑌.

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

Q15:

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

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

Q16:

Find the set of elements found in 𝑋 but NOT in 𝑌 or 𝑍.

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

Q17:

Find 𝐶𝐵 using the Venn diagram.

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

Q18:

Write the set of elements in 𝑍 and NOT in 𝑋.

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

Q19:

Write the set of elements in 𝑌 and NOT in 𝑍.

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

Q20:

Find the set of elements in both 𝑋 and 𝑍 but NOT in 𝑌.

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

Q21:

Using the Venn diagram, find 𝑋𝑌.

  • A{6,3}
  • B{0,7,1,2}
  • C{1,2}
  • D{8,5}
  • E{0,7}

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