Worksheet: Sets and Venn Diagrams

In this worksheet, we will practice representing a set on a Venn diagram.

Q1:

If 𝑋 = { 8 , 6 , 2 } and 𝑌 = { 7 , 3 , 9 } , which Venn diagram represents the two sets?

  • A(b)
  • B(a)
  • C(c)
  • D(d)

Q2:

If 𝑋 = { 7 , 3 , 9 , 1 } and 𝑌 = { 9 , 7 , 2 } , which Venn diagram represents the two sets?

  • A(c)
  • B(b)
  • C(d)
  • D(a)

Q3:

If 𝑋 = { 6 , 2 } and 𝑌 = { 2 , 6 , 9 , 8 } , which Venn diagram represents the two sets?

  • A(b)
  • B(d)
  • C(c)
  • D(a)

Q4:

If 𝑋 = { 𝑥 , 𝑚 , 𝑑 , 𝑖 } and 𝑌 = { 𝑑 , 𝑎 , 𝑚 } , which Venn diagram represents the two sets?

  • A(C)
  • B(A)
  • C(D)
  • D(B)

Q5:

If 𝑋 = { 8 , 2 , 5 , 4 } and 𝑌 is the set of digits in the number 2,956, which Venn diagram represents the two sets?

  • A(b)
  • B(a)
  • C(d)
  • D(c)

Q6:

If 𝑋 = { 6 , 0 , 3 , 7 , 8 } , 𝑌 = { 8 , 3 , 5 , 2 } , and 𝑍 = { 8 , 0 , 1 , 4 , 5 } , which Venn diagram represents the sets?

  • A(b)
  • B(a)
  • C(d)
  • D(c)

Q7:

If 𝑋 = { 5 , 8 , 7 , 2 } and 𝑌 = { 7 , 2 , 6 } , which Venn diagram represents the two sets?

  • A(c)
  • B(a)
  • C(d)
  • D(b)

Q8:

If 𝑋 = { 6 , 8 , 1 , 5 } and 𝑌 is the set of digits in the number 2,171, which Venn diagram represents the two sets?

  • A(c)
  • B(a)
  • C(d)
  • D(b)

Q9:

If 𝑋 = { 𝑐 , 𝑑 , 𝑏 , 𝑥 } and 𝑌 = { 𝑎 , 𝑑 , 𝑥 } , which Venn diagram represents the two sets?

  • A(B)
  • B(A)
  • C(C)
  • D(D)

Q10:

If 𝑋 = { 4 , 5 } and 𝑌 = { 5 , 7 , 4 , 8 } , which Venn diagram represents the two sets?

  • A(b)
  • B(a)
  • C(d)
  • D(c)

Q11:

If 𝑋 = { 7 , 9 , 5 } and 𝑌 = { 3 , 4 , 1 } , which Venn diagram represents the two sets?

  • A(c)
  • B(b)
  • C(d)
  • D(a)

Q12:

If 𝑋 = { 4 , 1 , 9 } and 𝑌 = { 5 , 2 , 6 } , which Venn diagram represents the two sets?

  • A(b)
  • B(a)
  • C(d)
  • D(c)

Q13:

If 𝑋 = { 5 , 6 , 7 , 1 , 3 } , 𝑌 = { 5 , 2 , 7 , 0 } , and 𝑍 = { 3 , 4 , 8 , 5 , 2 } , which Venn diagram represents the sets?

  • A(c)
  • B(a)
  • C(d)
  • D(b)

Q14:

If 𝑋 = { 0 , 1 , 7 , 8 , 6 } , 𝑌 = { 7 , 0 , 5 , 3 } , and 𝑍 = { 3 , 7 , 9 , 6 , 2 } , which Venn diagram represents the sets?

  • A(c)
  • B(a)
  • C(d)
  • D(b)

Q15:

If 𝑋 = { 6 , 2 , 3 , 5 , 0 } , 𝑌 = { 0 , 6 , 9 , 1 } , and 𝑍 = { 1 , 0 , 8 , 2 , 4 } , which Venn diagram represents the sets?

  • A(b)
  • B(a)
  • C(d)
  • D(c)

Q16:

Write 𝑌 using the listing method.

  • A 𝑌 = { 1 , 3 , 7 }
  • B 𝑌 = { 8 , 6 , 4 }
  • C 𝑌 = { 8 , 1 , 3 , 6 , 4 }
  • D 𝑌 = { 8 , 1 , 3 , 6 , 4 , 7 }

Q17:

Write 𝑋 using the listing method.

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

Q18:

Using the given Venn diagram, list the elements of set 𝑋 .

  • A 𝑋 = { 5 , 6 , 3 }
  • B 𝑋 = { 1 , 9 }
  • C 𝑋 = { 5 , 6 , 3 , 9 , 1 , 2 }
  • D 𝑋 = { 5 , 6 , 3 , 9 , 1 }

Q19:

Use the Venn diagram below to find 𝑈 .

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

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