Worksheet: Complements of Sets Using Venn Diagrams

In this worksheet, we will practice using Venn diagrams to find the complement of a set.

Q1:

Using the Venn diagram, find 𝑋 .

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

Q2:

Find 𝑋 using the Venn diagram.

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

Q3:

Use the Venn diagram below to find ( 𝑋 𝑌 ) .

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

Q4:

Use the Venn diagram below to find ( 𝑋 𝑌 ) .

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

Q5:

Using the Venn diagram, find 𝑋 .

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

Q6:

Use the Venn diagram below to find 𝑋 .

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

Q7:

Use the given Venn diagram to find .

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

Q8:

Using the Venn diagram, find ( 𝑋 ) .

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

Q9:

Using the Venn diagram, find ( 𝑋 𝑌 ) .

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

Q10:

Use the Venn diagram below to find ( 𝑋 𝑋 ) .

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

Q11:

Use the Venn diagram below to find ( 𝑋 𝑌 ) .

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

Q12:

Use the given Venn diagram to find ( 𝑋 𝑌 𝑍 ) .

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

Q13:

Use the given Venn diagram to find ( 𝑋 𝑌 𝑍 ) .

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

Q14:

Take the universal set to be the set of numbers between, but not including, 1 and 10. Given that 𝑋 = { 7 , 3 , 8 } and 𝑌 = { 4 , 9 , 3 } , which Venn diagram represents these sets?

  • A(c)
  • B(b)
  • C(d)
  • D(a)

Q15:

Using the Venn diagram, find 𝑋 .

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

Q16:

Use the Venn diagram below to find 𝑋 .

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

Q17:

Using the Venn diagram, find ( 𝑋 ) .

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

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