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

Start Practicing

Worksheet: Difference between Two Sets

Q1:

Find { 5 1 } βˆ’ { 1 5 } .

  • A βˆ…
  • B { 1 5 }
  • C { 5 1 , 1 5 }
  • D { 5 1 }

Q2:

Given that 𝑋 = { 𝑑 , β„Ž , 𝑛 } and π‘Œ = { β„Ž , 𝑒 , 𝑙 , 𝑑 } , find 𝑋 βˆ’ π‘Œ .

  • A { 𝑒 , 𝑙 }
  • B { 𝑑 , β„Ž }
  • C { 𝑛 , β„Ž }
  • D { 𝑛 }

Q3:

Given { 1 , 2 , 3 } βˆ’ { 3 } = { 1 , π‘₯ } , find the value of π‘₯ .

Q4:

If 𝐴 = { π‘Ž , 𝑏 , 𝑐 , 𝑑 , 𝑒 } , 𝐡 = { π‘Ž , 𝑐 , 𝑒 , 𝑓 } , and 𝐢 = { 𝑏 , 𝑑 , 𝑓 , β„Ž } , which operation is equivalent to ( 𝐴 βˆ’ 𝐡 ) ∩ 𝐢 ?

  • A ( 𝐴 ∩ 𝐡 ) βˆ’ ( 𝐴 ∩ 𝐢 )
  • B 𝐴 βˆ’ ( 𝐡 ∩ 𝐢 )
  • C βˆ…
  • D ( 𝐴 ∩ 𝐢 ) βˆ’ ( 𝐴 ∩ 𝐡 )

Q5:

Given { 3 0 , 4 6 , 3 } βˆ’ { 4 6 } = { 3 , 5 π‘₯ } , find the value of π‘₯ .

Q6:

Given { 5 , 2 , 4 } βˆ’ { 4 , π‘₯ } = { 2 } , find the value of π‘₯ .

Q7:

Given { 5 , π‘₯ βˆ’ 8 } βˆ’ { 7 , 5 , 6 } = { 1 } , find the value of π‘₯ .

Q8:

Find { 𝑒 , 𝑗 } βˆ’ { 𝑐 , π‘₯ } .

  • A { 𝑐 , π‘₯ }
  • B βˆ…
  • C { 𝑒 }
  • D { 𝑒 , 𝑗 }

Q9:

Find { π‘₯ , 𝑙 , 𝑐 } βˆ’ { 𝑐 , π‘Ž , 𝑛 , β„Ž , 𝑑 } .

  • A { π‘Ž , 𝑛 , β„Ž , 𝑑 }
  • B { 𝑐 }
  • C { π‘₯ }
  • D { π‘₯ , 𝑙 }

Q10:

Find { 7 7 } βˆ’ { 7 } .

  • A βˆ…
  • B { 7 }
  • C { 7 , 7 7 }
  • D { 7 7 }

Q11:

If 𝑋 = { 3 , 4 , 9 , 8 } and π‘Œ = { 5 , 0 } , what is 𝑋 βˆ’ π‘Œ ?

  • A { 4 , 8 , 5 , 9 , 3 }
  • B { 0 , 5 }
  • C βˆ…
  • D { 4 , 9 , 8 , 3 }

Q12:

If 𝑋 = { 9 , 6 , 8 } and π‘Œ = { 0 , 7 , 4 } , what is 𝑋 βˆ’ π‘Œ ?

  • A { 7 , 4 , 8 , 9 , 6 }
  • B { 4 , 0 , 7 }
  • C βˆ…
  • D { 9 , 8 , 6 }

Q13:

If 𝑋 = { 8 , 7 , 2 , 1 , 4 } and π‘Œ = { 6 , 5 , 9 } , what is π‘Œ βˆ’ 𝑋 ?

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

Q14:

If 𝑋 is the set of even numbers between, but not including, 0 and 8, and π‘Œ is the set of digits of the number 541, what is 𝑋 βˆ’ π‘Œ ?

  • A { 5 , 1 }
  • B { 4 }
  • C { 2 , 6 , 8 , 0 }
  • D { 2 , 6 }

Q15:

If 𝑋 = { 8 , 5 , 3 , 0 } and π‘Œ is the set of digits of 148, what is 𝑋 βˆ’ π‘Œ ?

  • A { 3 , 5 , 8 , 0 }
  • B { 1 , 4 }
  • C βˆ…
  • D { 5 , 3 , 0 }
  • E { 8 }

Q16:

If 𝑋 = { 𝑏 , β„Ž , 𝑛 , 𝑗 } , π‘Œ = { 𝑧 , 𝑏 , 𝑛 , π‘š } , 𝑍 = { β„Ž , 𝑧 , 𝑛 , π‘˜ } , and π‘ˆ = { π‘˜ , π‘š , 𝑏 , 𝑗 , β„Ž , π‘₯ , 𝑧 , 𝑛 } where π‘ˆ is the universal set, what is ( 𝑍 βˆ’ π‘Œ ) βˆͺ 𝑋 ?

  • A { β„Ž , π‘˜ }
  • B { 𝑏 , π‘š , β„Ž , 𝑛 , 𝑗 }
  • C { 𝑏 , β„Ž , 𝑛 , 𝑗 }
  • D { β„Ž , π‘˜ , 𝑏 , 𝑛 , 𝑗 }

Q17:

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

  • A
  • B
  • C
  • D
  • E

Q18:

Given { 8 , 3 , 7 } βˆ’ { 7 , 8 } = { π‘₯ βˆ’ 6 } , find the value of π‘₯ .

Q19:

What is ?

  • A
  • B
  • C
  • D

Q20:

Find { 4 } βˆ’ { 1 , 2 , 0 , 4 } .

  • A { 1 , 2 , 0 }
  • B { 4 }
  • C { 1 , 2 , 0 , 4 }
  • D βˆ…

Q21:

Given π‘₯ ∈ { 1 , 2 } βˆ’ { 9 , 1 } , find the value of π‘₯ .

Q22:

If 𝐴 = { 1 2 , 1 4 , 1 6 } and 𝐡 is the set of odd numbers less than or equal to 17, what is 𝐴 βˆ’ 𝐡 ?

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

Q23:

Find { 8 , 1 } βˆ’ { 7 , 4 , 3 , 5 , 2 } .

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

Q24:

Find { 7 , 6 , 8 , 5 } βˆ’ { 1 , 2 , 3 , 4 , 8 } .

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

Q25:

Complete using = or β‰  :

  • A β‰ 
  • B =