Worksheet: Difference between Two Sets

In this worksheet, we will practice finding the difference between two sets.

Q1:

Find { 5 1 } { 1 5 } .

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

Q2:

Given that 𝑋 = { 𝑑 , , 𝑛 } and 𝑌 = { , 𝑒 , 𝑙 , 𝑑 } , find 𝑋 𝑌 .

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

Q3:

Complete using = or :

  • A
  • B =

Q4:

Find { 7 7 } { 7 } .

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

Q5:

Find { 4 } { 1 , 2 , 0 , 4 } .

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

Q6:

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

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

Q7:

Find { 𝑒 , 𝑗 } { 𝑐 , 𝑥 } .

  • A { 𝑐 , 𝑥 }
  • B
  • C { 𝑒 }
  • D { 𝑒 , 𝑗 }

Q8:

If 𝑋 = { 3 , 4 , 9 , 8 } and 𝑌 = { 5 , 0 } , what is 𝑋 𝑌 ?

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

Q9:

Given 𝑥 { 1 , 2 } { 9 , 1 } , find the value of 𝑥 .

Q10:

Given { 1 , 2 , 3 } { 3 } = { 1 , 𝑥 } , find the value of 𝑥 .

Q11:

Given { 5 , 2 , 4 } { 4 , 𝑥 } = { 2 } , find the value of 𝑥 .

Q12:

If 𝑋 = { 8 , 5 , 3 , 0 } and 𝑌 is the set of digits of 148, what is 𝑋 𝑌 ?

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

Q13:

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

  • A
  • 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 }

Q14:

If 𝑋 is the set of even numbers between, but not including, 0 and 8, and 𝑌 is the set of digits of the number 541, what is 𝑋 𝑌 ?

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

Q15:

Given { 3 0 , 4 6 , 3 } { 4 6 } = { 3 , 5 𝑥 } , find the value of 𝑥 .

Q16:

Given { 5 , 𝑥 8 } { 7 , 5 , 6 } = { 1 } , find the value of 𝑥 .

Q17:

Given { 8 , 3 , 7 } { 7 , 8 } = { 𝑥 6 } , find the value of 𝑥 .

Q18:

What is ?

  • A
  • B
  • C
  • D

Q19:

If 𝐴 = { 𝑎 , 𝑏 , 𝑐 , 𝑑 , 𝑒 } , 𝐵 = { 𝑎 , 𝑐 , 𝑒 , 𝑓 } , and 𝐶 = { 𝑏 , 𝑑 , 𝑓 , } , which operation is equivalent to ( 𝐴 𝐵 ) 𝐶 ?

  • A ( 𝐴 𝐵 ) ( 𝐴 𝐶 )
  • B 𝐴 ( 𝐵 𝐶 )
  • C
  • D ( 𝐴 𝐶 ) ( 𝐴 𝐵 )

Q20:

If 𝑋 = { 𝑏 , , 𝑛 , 𝑗 } , 𝑌 = { 𝑧 , 𝑏 , 𝑛 , 𝑚 } , 𝑍 = { , 𝑧 , 𝑛 , 𝑘 } , and 𝑈 = { 𝑘 , 𝑚 , 𝑏 , 𝑗 , , 𝑥 , 𝑧 , 𝑛 } where 𝑈 is the universal set, what is ( 𝑍 𝑌 ) 𝑋 ?

  • A { , 𝑘 }
  • B { 𝑏 , 𝑚 , , 𝑛 , 𝑗 }
  • C { 𝑏 , , 𝑛 , 𝑗 }
  • D { , 𝑘 , 𝑏 , 𝑛 , 𝑗 }

Q21:

If 𝑋 = { 𝑏 , 𝑔 , , 𝑗 } , 𝑌 = { 𝑓 , 𝑗 , 𝑐 , 𝑛 } , 𝑍 = { 𝑏 , 𝑙 , 𝑔 , 𝑗 } , and 𝑈 = { , 𝑛 , 𝑙 , 𝑓 , 𝑏 , 𝑐 , 𝑔 , 𝑗 } where 𝑈 is the universal set, what is ( 𝑋 𝑌 ) 𝑍 ?

  • A { 𝑏 , 𝑔 , , 𝑛 , 𝑓 , 𝑐 }
  • B { , 𝑓 , 𝑐 , 𝑛 }
  • C { 𝑏 , 𝑔 , , 𝑗 , 𝑓 , 𝑐 , 𝑛 }
  • D { 𝑏 , 𝑔 , 𝑗 }
  • E { 𝑗 }

Q22:

If 𝑋 = { 9 , 1 0 } , 𝑌 = { 1 , 3 } , and 𝑈 = { 1 , 3 , 4 , 6 , 9 , 1 0 } where 𝑈 is the universal set, what is 𝑈 ( 𝑋 𝑌 ) ?

  • A { 1 , 3 , 4 , 6 }
  • B { 9 , 1 0 }
  • C
  • D { 1 , 3 , 4 , 6 , 9 , 1 0 }

Q23:

Find { 3 , 0 } .

  • A { 3 }
  • B
  • C { 0 }
  • D { 3 , 0 }

Q24:

If 𝑋 = { 𝑚 , 𝑒 , 𝑖 , 𝑥 } , 𝑌 = { 𝑒 , 𝑖 , 𝑦 , 𝑥 , 𝑓 } , 𝑍 = { 𝑓 , 𝑖 , 𝑒 , } , and 𝑈 = { 𝑓 , , 𝑚 , 𝑦 , 𝑐 , 𝑒 , 𝑥 , 𝑖 } where 𝑈 is the universal set, what is 𝑋 𝑌 ?

  • A { 𝑚 }
  • B { , 𝑐 }
  • C { 𝑓 }
  • D { 𝑓 , 𝑦 }

Q25:

If 𝑋 = { 𝑔 , 𝑒 } , 𝑌 = { 𝑛 , 𝑦 , 𝑔 } , 𝑍 = { 𝑑 , 𝑒 , 𝑛 , 𝑔 } , and 𝑈 = { 𝑒 , 𝑖 , 𝑔 , 𝑛 , 𝑑 , 𝑦 } where 𝑈 is the universal set, what is 𝑍 𝑌 ?

  • A { 𝑖 }
  • B { 𝑑 , 𝑒 }
  • C { 𝑛 }
  • D { 𝑛 , 𝑔 }

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