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Worksheet: Intersection of Sets Using Venn Diagrams

Q1:

Find the set of elements common to 𝑋 , π‘Œ , and 𝑍 .

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

Q2:

Find the set of elements common to 𝐴 , 𝐡 , and 𝐢 .

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

Q3:

Using the Venn diagram, find 𝐴 ∩ 𝐡 ∩ 𝐢 .

  • A { 2 , 4 }
  • B { 8 }
  • C { 8 , 2 , 4 }
  • D βˆ…

Q4:

Use βŠ‚ or βŠ„ to fill in the gap: The Venn Diagram shows { 5 , 1 } ( 𝑋 ∩ π‘Œ ) .

  • A βŠ„
  • B βŠ‚

Q5:

Using the Venn diagram, find 𝑋 ∩ 𝑍 .

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

Q6:

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

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

Q7:

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

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

Q8:

Use βŠ‚ or βŠ„ to fill in the gap: The Venn Diagram shows { 9 , 6 } ( 𝑋 ∩ π‘Œ ) .

  • A βŠ„
  • B βŠ‚

Q9:

Write the set of elements in both 𝐴 and 𝐡 .

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

Q10:

Write the set of elements in both 𝐴 and 𝐢 .

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

Q11:

Use ∈ or βˆ‰ to fill in the gap: The Venn Diagram shows 4 ( 𝑋 ∩ 𝑍 ) .

  • A βˆ‰
  • B ∈

Q12:

Given the Venn diagram, which of the following represents the set { 9 , 0 } ?

  • A 𝑋 ∩ 𝑍
  • B 𝑋 βˆͺ π‘Œ
  • C 𝑋 βˆͺ 𝑍
  • D 𝑋 ∩ π‘Œ
  • E π‘Œ ∩ 𝑍

Q13:

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

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

Q14:

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

  • A { 5 , 0 }
  • B { 3 , 6 }
  • C βˆ…
  • D { 3 , 6 , 5 , 0 }
  • E { 5 , 0 , 4 , 8 }

Q15:

Use βŠ‚ or βŠ„ to fill in the gap: The Venn Diagram shows { 7 } ( π‘Œ ∩ 𝑋 ) .

  • A βŠ„
  • B βŠ‚

Q16:

Use the Venn diagram below to find .

  • A
  • B
  • C
  • D

Q17:

Use βŠ‚ or βŠ„ to fill in the gap: { 5 } ( 𝑋 ∩ π‘Œ ) .

  • A βŠ„
  • B βŠ‚

Q18:

Use the Venn diagram below to find .

  • A
  • B
  • C
  • D

Q19:

Using the Venn diagram below, find 𝑋 ∩ π‘Œ .

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

Q20:

Use ∈ or βˆ‰ to fill in the gap: The Venn Diagram shows 8 ( 𝑋 ∩ 𝑍 ) .

  • A βˆ‰
  • B ∈

Q21:

Using the Venn diagram below, find 𝑋 ∩ π‘Œ .

  • A { π‘Ž , π‘š }
  • B { π‘₯ , 𝑛 , 𝑦 }
  • C { π‘₯ , 𝑛 , 𝑦 , 𝑒 , π‘˜ }
  • D { 𝑒 , π‘˜ }
  • E { π‘₯ , 𝑛 , 𝑦 , π‘Ž , π‘š , 𝑒 , π‘˜ }

Q22:

Write the set of elements in both 𝑋 and π‘Œ .

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

Q23:

Write the set of elements in both 𝑋 and 𝑍 .

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