Worksheet: Subsets of a Set

In this worksheet, we will practice finding a subset of a given set and determining whether a given subset belongs to a certain set or not.

Q1:

Find all the subsets of 𝑋={𝑎,𝑛}.

  • A{𝑎}, {𝑛}, {𝑎,𝑛}
  • B, {𝑎}, {𝑛}
  • C, {𝑎𝑛}, {𝑛𝑎}, {𝑎,𝑛}
  • D, {𝑎}, {𝑛}, {𝑎,𝑛}
  • E, {𝑎}, {𝑛}, {𝑎𝑛}, {𝑛𝑎}, {𝑎,𝑛}

Q2:

Given that 𝐴={18,11,3,2} and 𝐵={2,18,3}, what is the relation between 𝐴 and 𝐵?

  • A𝐵𝐴
  • B𝐴𝐵
  • C𝐵𝐴
  • D𝐵=𝐴

Q3:

Find all the subsets of the set of the letters of ()ybby.

  • A, {}yb, {}by, {,}yb
  • B, {}y, {}b, {,}yb
  • C, {}y, {}b, {}yb, {}by, {,}yb
  • D, {}y, {}b
  • E{}y, {}b, {,}yb

Q4:

Given that 𝑋={33}, find all its subsets.

  • A{3}, {33}
  • B, {3}, {33}
  • C, {33}
  • D, {3}

Q5:

Find a subset of {1,5}.

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

Q6:

Use or to fill in the gap: {3}{3,4}.

  • A
  • B

Q7:

Use or to fill in the gap: {5,1,7}{1,9,3}.

  • A
  • B

Q8:

Use or to fill in the gap: {4.15}{5,4,1}.

  • A
  • B

Q9:

Use or to fill in the gap: If 𝐴={5,3,1,6} and 𝐵={6,8,9,5}, then 𝐵𝐴.

  • A
  • B

Q10:

Use or to fill in the gap: {7,49,17,23,1,3,51} the set of odd numbers.

  • A
  • B

Q11:

Fill in the blank using or : {58}5,882thesetofdigitsof.

  • A
  • B

Q12:

Given that {8,7}{9,8,𝑥}, find the value of 𝑥.

Q13:

Given that {𝑥}{1,27}, find the value of 𝑥.

  • A127 or 271
  • B1 or 27
  • C271
  • D127
  • E28

Q14:

Given that {7,𝑥,3} the set of digits of 7,233, find the value of 𝑥.

Q15:

Given that {𝑥,2}{9,2,6} and {1,𝑥,4}{1,6,4,3}, find the value of 𝑥.

  • A𝑥=9
  • B𝑥=6 or 𝑥=3
  • C𝑥=6
  • D𝑥=9 or 𝑥=6
  • E𝑥=3

Q16:

If {20,18,9}{20,18,𝑥}, what are the possible values of 𝑥?

  • A𝑥 can be any number other than 47.
  • B𝑥 can be any number other than 20, 18, and 9.
  • C9
  • D20 or 18 or 9

Q17:

If {6}{𝑥,5}, what are the possible values of 𝑥?

  • A6
  • B𝑥 can be any number other than 11.
  • C6 or 5
  • D𝑥 can be any number other than 1.
  • E𝑥 can be any number other than 6 or 5.

Q18:

Given that {𝑥,3}{11,5,𝑦}, what are the possible values for 𝑥 and 𝑦?

  • A𝑦=11 or 𝑦=5, 𝑥=3
  • B𝑥=16, 𝑦=3
  • C𝑥=6, 𝑦=3
  • D𝑥=11 or 𝑥=5, 𝑦=3

Q19:

Pick the true statement.

  • A{3,4,1}{1,4,3,7,2}
  • B{3,4,1}{4,3,1}
  • C{3,4,1}{7,4,1,3}
  • D{3,4,1}{7,2,5,9}

Q20:

Pick the true statement.

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

Q21:

𝐴={5,4,7}, 𝐵={7,4,5,3}, and 𝐶 is the set of digits of the number 547. which statement is correct?

  • A𝐴𝐵, 𝐴𝐶
  • B𝐴𝐵, 𝐴𝐶
  • C𝐴𝐵, 𝐴𝐶
  • D𝐴𝐵, 𝐴𝐶

Q22:

Find all subsets of 𝑋={3,6,8}.

  • A{3}, {6}, {8}, {3,6}, {6,8}, {3,8}, {3,6,8}
  • B, {3}, {6}, {8}, {3,6}, {6,8}, {3,8}, {368}
  • C, {3}, {6}, {8}, {3,6}, {6,8}, {3,8}, {3,6,8}
  • D, {3}, {6}, {8}, {3,6}, {6,8}, {3,8}

Q23:

Use , , or to fill in the gap: Thesetofdigitsof14{14,4}.

  • A
  • B

Q24:

If some set 𝐴 has 7 elements, how many subsets does 𝐴 have?

Q25:

𝑋={9,𝑎}, 𝑌={22,25,𝑏}, and 𝑍={𝑎,𝑏,25,26}. Given that 𝑋𝑌 and 𝑌𝑍, find 𝑎 and 𝑏.

  • A𝑎=22, 𝑏=26
  • B𝑎=22, 𝑏=9
  • C𝑎=25, 𝑏=26
  • D𝑎=25, 𝑏=9

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