Worksheet: Difference between Two Sets

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

Q1:

Find {51}{15}.

  • A
  • B{15}
  • C{51}
  • D{51,15}

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{77}
  • C{7,77}
  • 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{13,15,17}
  • B{12,14,16,13,15,17}
  • C
  • D{12,14,16}

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(𝐴𝐶)(𝐴𝐵)
  • B(𝐴𝐵)(𝐴𝐶)
  • C𝐴(𝐵𝐶)
  • 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{9,10}
  • B
  • C{1,3,4,6,9,10}
  • 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}

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