Nagwa uses cookies to ensure you get the best experience on our website. Learn more about our Privacy Policy.

Start Practicing

Worksheet: Complements of a Set

Q1:

Given , , and a universal set , find .

  • A
  • B
  • C
  • D
  • E

Q2:

Take the universal set to be the set of numbers between, but not including, 1 and 12. Given that and , what is ?

  • A
  • B
  • C
  • D
  • E

Q3:

Given 𝑋 = { 2 , 4 } , π‘Œ = { 4 , 5 } , and a universal set π‘ˆ = { 5 , 4 , 2 , 9 } , find ο€Ί 𝑋 ∩ π‘Œ  .

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

Q4:

Given that 𝑋 = { 8 , 5 , 0 } , π‘Œ = { 2 , 5 , 0 } , and 𝑋 ∩ π‘Œ = { 7 , 3 } , find π‘Œ ∩ 𝑋 .

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

Q5:

Take the universal set to be the set of even numbers less than 15. Given that and , find .

  • A
  • B
  • C
  • D

Q6:

Take the universal set to be the set of odd numbers less than 14. Given that and , find .

  • A
  • B
  • C
  • D

Q7:

Given , , and a universal set , find .

  • A
  • B
  • C
  • D
  • E

Q8:

Given and belong to a universal set which is the set of odd numbers less than 17, what is ?

  • A
  • B
  • C
  • D

Q9:

Take the universal set to be the set of factors of the number 40. Given that is the set of factors of the number 2, find .

  • A
  • B
  • C
  • D
  • E

Q10:

Given , , and a universal set , find .

  • A
  • B
  • C
  • D

Q11:

Given , , and a universal set , find .

  • A
  • B
  • C
  • D
  • E

Q12:

Take the universal set to be the set of integers between, but not including, 1 and 11. Given that and , what is ?

  • A
  • B
  • C
  • D

Q13:

Given , , and a universal set , find .

  • A
  • B 8
  • C
  • D
  • E

Q14:

Take the universal set to be the set of numbers between, but not including, 1 and 10. If and , what is ?

  • A
  • B
  • C
  • D
  • E

Q15:

Take the universal set to be the set of numbers between, but not including, 1 and 12. Given that and , what is ?

  • A
  • B
  • C
  • D

Q16:

Given 𝑋 = { 0 , 9 , 7 } , π‘Œ = { 8 , 0 , 9 } , and a universal set π‘ˆ = { 9 , 7 , 8 , 0 } , find ο€Ί 𝑋 ∩ π‘Œ  .

  • A { 8 }
  • B 0 , 7 , 9
  • C 8
  • D { 0 , 9 , 7 }

Q17:

Given that 𝑋 = { 8 , 5 , 4 } , π‘Œ = { 3 , 5 , 4 } , and 𝑋 ∩ π‘Œ = { 6 , 9 } , find 𝑋 ∩ π‘Œ .

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

Q18:

If the universal set is , and , what is ?

  • A
  • B
  • C
  • D
  • E

Q19:

If the universal set is , and , what is ?

  • A
  • B
  • C
  • D
  • E

Q20:

What is ?

  • A
  • B
  • C
  • D

Q21:

What is ?

  • A
  • B
  • C
  • D

Q22:

If 𝐴 is a subset of a universal set π‘ˆ , what is ( 𝐴 ) β€² β€² ?

  • A π‘ˆ
  • B βˆ…
  • C { 0 }
  • D 𝐴

Q23:

If the universal set is , , and , what is ?

  • A
  • B
  • C
  • D

Q24:

If the universal set π‘ˆ = { 9 , 1 , 6 , 1 0 } , 𝑋 = { 9 , 6 } , and π‘Œ = { 1 0 , 1 , 6 } , what is ( 𝑋 βˆͺ π‘Œ ) β€² β€² β€² ?

  • A { 1 , 9 , 1 0 }
  • B 6
  • C 1 , 9 , 1 0
  • D { 6 }

Q25:

If the universal set π‘ˆ = { 0 , 6 , 9 , 3 , 8 } , 𝑋 = { 3 , 8 , 6 } , and π‘Œ = { 8 , 3 } , what is 𝑋 ∩ π‘Œ ?

  • A βˆ…
  • B { 8 , 3 , 6 }
  • C { 8 , 3 }
  • D { 9 , 0 }