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