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Worksheet: Difference between Sets Using Venn Diagrams

Q1:

Using the Venn diagram, find 𝑋 βˆ’ 𝑍 .

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

Q2:

Write the set of elements in 𝑋 and NOT in π‘Œ .

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

Q3:

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 }

Q4:

Write the set of elements in π‘Œ 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 }

Q5:

Use the Venn diagram below to find 𝑍 βˆ’ π‘Œ .

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

Q6:

Use the Venn diagram below to find ( π‘Œ βˆ’ 𝑋 ) ∩ ( π‘Œ βˆ’ 𝑍 ) .

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

Q7:

Using the Venn diagram, find π‘ˆ βˆ’ ( 𝑋 ∩ π‘Œ ) .

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

Q8:

Using the Venn diagram, find π‘ˆ βˆ’ π‘Œ .

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

Q9:

Find the set of elements in both 𝐴 and 𝐡 but NOT in 𝐢 .

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

Q10:

Find the set of elements in both 𝑋 and 𝑍 but NOT in π‘Œ .

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

Q11:

Using the Venn diagram, find π‘Œ βˆ’ 𝑍 .

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

Q12:

Using the Venn diagram, find 𝑋 βˆ’ π‘Œ .

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

Q13:

Using the Venn diagram, find π‘Œ βˆ’ 𝑋 .

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

Q14:

If 𝑋 ∩ π‘Œ = { 5 } , 𝑋 βˆ’ π‘Œ = { 7 , 3 } , and π‘Œ βˆ’ 𝑋 = { 6 } , which Venn diagram represents the sets 𝑋 and π‘Œ ?

  • A(c)
  • B(b)
  • C(d)
  • D(a)

Q15:

Using the Venn diagram, find π‘ˆ βˆ’ ( 𝑋 ∩ π‘Œ ) .

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

Q16:

Use the Venn diagram below to find 𝑋 βˆ’ π‘Œ .

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

Q17:

Using the Venn diagram, find ( 𝑋 βˆ’ π‘Œ ) β€² .

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

Q18:

Using the Venn diagram, find π‘ˆ βˆ’ 𝑋 .

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

Q19:

Find 𝐢 βˆ’ 𝐡 using the Venn diagram.

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

Q20:

Find the set of elements found in 𝑋 but NOT in π‘Œ or 𝑍 .

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

Q21:

Using the Venn diagram, find 𝑋 βˆ’ π‘Œ .

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