Worksheet: Elements of a Set

In this worksheet, we will practice finding the elements of a given set and determining whether given elements belong to a certain set.

Q1:

Use or to fill in the gap: 𝑗{𝑙,𝑦,𝑎}.

  • A
  • B

Q2:

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

  • A
  • B

Q3:

Use or to fill in the gap: Ifthen𝑍={3,9,1},3𝑍.

  • A
  • B

Q4:

If 8{6,1,𝑥}, what numbers can 𝑥 NOT be?

  • A6, 8
  • B8
  • C6, 1
  • D1, 6, 8

Q5:

Use or to fill in the gap: TheVennDiagramshows6𝑌.

  • A
  • B

Q6:

Use or to fill in the gap: 6{36,16}

  • A
  • B

Q7:

Given that 𝑥 belongs to the set of odd numbers, and 𝑥{16,8,12,17}, find 𝑥.

  • A 𝑥 = 8
  • B 𝑥 = 1 2
  • C 𝑥 = 1 6
  • D 𝑥 = 1 5
  • E 𝑥 = 1 7

Q8:

Use or to fill in the gap: TheVennDiagramshows4𝑌.

  • A
  • B

Q9:

Does 368 belong to the set {3,6,8}?

  • AYes
  • BNo

Q10:

Use or to fill in the blank: 𝑒 {Daniel}.

  • A
  • B

Q11:

Use or to fill in the gap: 373,737.thesetofdigitsof

  • A
  • B

Q12:

Use or to fill in the blank: o {David}.

  • A
  • B

Q13:

Use or to fill in the blank: h {Jacob}.

  • A
  • B

Q14:

If 𝑋 is the set of digits of the number 64,764, list the elements of 𝑋.

  • A { 6 , 4 , 7 }
  • B { 4 , 7 }
  • C { 6 , 7 }
  • D { 6 , 4 }

Q15:

Does 2 belong to the set of all prime numbers?

  • Ayes
  • Bno

Q16:

The set {3,𝑥,2} represents the digits of the number 2,383. What is 𝑥?

  • A 𝑥 = 3 8
  • B 𝑥 = 2
  • C 𝑥 = 8 3
  • D 𝑥 = 8
  • E 𝑥 = 3

Q17:

Does 100 belong to the set of multiples of 10?

  • Ano
  • Byes

Q18:

If 6{5,𝑥}, what is 𝑥?

Q19:

Does 49 belong to the set of all even numbers less than 46?

  • ANo
  • BYes

Q20:

Use or to fill in the gap: 1.58{1,8,5}.

  • A
  • B

Q21:

Is the set of odd numbers finite, infinite, or null?

  • Anull
  • Bfinite
  • Cinfinite

Q22:

Use or to fill in the blank: d {Mohamed}.

  • A
  • B

Q23:

Does 55 belong to the set {5,534}?

  • AYes
  • BNo

Q24:

Use or to fill in the blank: m {Mohamed}.

  • A
  • B

Q25:

Does 2 belong to the set of digits of the number 221?

  • AYes
  • BNo

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