Worksheet: Difference between Two Sets

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

Q1:

Find {51}{15}.

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

Q2:

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

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

Q3:

Complete using = or : 𝑋𝑌𝑌𝑋.

  • A =
  • B

Q4:

Find {77}{7}.

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

Q5:

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

  • A { 4 }
  • B { 1 , 2 , 0 }
  • 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 { 𝑒 }
  • B { 𝑐 , 𝑥 }
  • C { 𝑒 , 𝑗 }
  • D

Q8:

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

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

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 𝑋𝑌?

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

Q13:

If 𝐴={12,14,16} and 𝐵is the set of odd numbers less than or equal to 17, what is 𝐴𝐵?

  • A { 1 3 , 1 5 , 1 7 }
  • B { 1 2 , 1 4 , 1 6 , 1 3 , 1 5 , 1 7 }
  • C
  • 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 𝑋𝑌?

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

Q15:

Given {30,46,3}{46}={3,5𝑥}, find the value of 𝑥.

Q16:

Given {5,𝑥8}{7,5,6}={1}, find the value of 𝑥.

Q17:

Given {8,3,7}{7,8}={𝑥6}, 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 (𝐴𝐵)𝐶?

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

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 (𝑍𝑌)𝑋?

  • A { , 𝑘 }
  • B { 𝑏 , 𝑚 , , 𝑛 , 𝑗 }
  • C { , 𝑘 , 𝑏 , 𝑛 , 𝑗 }
  • D { 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 (𝑋𝑌)𝑍?

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

Q22:

If 𝑋={9,10}, 𝑌={1,3}, and 𝑈={1,3,4,6,9,10} where 𝑈 is the universal set, what is 𝑈(𝑋𝑌)?

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

Q23:

Find {3,0}.

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

  • A { 𝑓 }
  • B { 𝑚 }
  • C { , 𝑐 }
  • 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 𝑍𝑌?

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

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