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Lesson: Set Notation

Sample Question Videos

Worksheet • 24 Questions • 2 Videos

Q1:

𝑋 is the set of odd numbers greater than 2 and less than 10. Write 𝑋 using the listing method.

  • A 𝑋 = { 3 , 5 , 7 , 9 }
  • B 𝑋 = { 4 , 6 , 8 }
  • C 𝑋 = { 2 , 3 , 5 , 7 , 9 , 1 0 }
  • D 𝑋 = { 3 , 5 , 7 , 9 , 1 0 }
  • E 𝑋 = { 2 , 3 , 5 , 7 , 9 }

Q2:

𝑋 is the set of even numbers greater than 4 and less than 8. Write 𝑋 using the listing method.

  • A 𝑋 = { 6 }
  • B 𝑋 = { 5 , 7 }
  • C 𝑋 = { 4 , 6 , 8 }
  • D 𝑋 = { 6 , 8 }
  • E 𝑋 = { 4 , 6 }

Q3:

Given that 𝑋 = { π‘₯ ∢ π‘₯ ∈ β„€ , π‘₯ β‰₯ βˆ’ 5 } , write 𝑋 using the listing method.

  • A 𝑋 = { βˆ’ 5 , βˆ’ 4 , βˆ’ 3 , … }
  • B 𝑋 = { βˆ’ 5 , βˆ’ 6 , βˆ’ 7 , … }
  • C 𝑋 = { βˆ’ 6 , βˆ’ 7 , βˆ’ 8 , … }
  • D 𝑋 = { βˆ’ 4 , βˆ’ 3 , βˆ’ 2 , … }

Q4:

Given that 𝑋 = { π‘₯ ∢ π‘₯ ∈ β„€ , π‘₯ < βˆ’ 1 } , write 𝑋 using the listing method.

  • A 𝑋 = { βˆ’ 2 , βˆ’ 3 , βˆ’ 4 , … }
  • B 𝑋 = { βˆ’ 1 , βˆ’ 2 , βˆ’ 3 , … }
  • C 𝑋 = { 0 , 1 , 2 , … }
  • D 𝑋 = { βˆ’ 1 , 0 , 1 , … }

Q5:

Given that 𝑋 = { π‘₯ ∢ π‘₯ ∈ β„€ , βˆ’ 1 8 ≀ π‘₯ < βˆ’ 1 4 } , write 𝑋 using the listing method.

  • A 𝑋 = { βˆ’ 1 8 , βˆ’ 1 7 , βˆ’ 1 6 , βˆ’ 1 5 }
  • B 𝑋 = { βˆ’ 1 7 , βˆ’ 1 6 , βˆ’ 1 5 }
  • C 𝑋 = { βˆ’ 1 8 , βˆ’ 1 7 , βˆ’ 1 6 , βˆ’ 1 5 , βˆ’ 1 4 }
  • D 𝑋 = { βˆ’ 1 7 , βˆ’ 1 6 , βˆ’ 1 5 , βˆ’ 1 4 }

Q6:

Given that 𝑋 = { π‘₯ ∢ π‘₯ ∈ β„€ , 3 < π‘₯ < 7 } , write 𝑋 using the listing method.

  • A 𝑋 = { 4 , 5 , 6 }
  • B 𝑋 = { 3 , 4 , 5 , 6 }
  • C 𝑋 = { 3 , 4 , 5 , 6 , 7 }
  • D 𝑋 = { 4 , 5 , 6 , 7 }

Q7:

Given that 𝑋 = { π‘₯ ∢ π‘₯ ∈ β„€ , βˆ’ 1 5 ≀ π‘₯ < βˆ’ 1 0 } , write 𝑋 using the listing method.

  • A 𝑋 = { βˆ’ 1 5 , βˆ’ 1 4 , βˆ’ 1 3 , βˆ’ 1 2 , βˆ’ 1 1 }
  • B 𝑋 = { βˆ’ 1 4 , βˆ’ 1 3 , βˆ’ 1 2 , βˆ’ 1 1 }
  • C 𝑋 = { βˆ’ 1 5 , βˆ’ 1 4 , βˆ’ 1 3 , βˆ’ 1 2 , βˆ’ 1 1 , βˆ’ 1 0 }
  • D 𝑋 = { βˆ’ 1 4 , βˆ’ 1 3 , βˆ’ 1 2 , βˆ’ 1 1 , βˆ’ 1 0 }

Q8:

Find the set of natural numbers that are less than 7.

  • A { 0 , 1 , 2 , 3 , 4 , 5 , 6 }
  • B { 0 , 1 , 2 , 3 , 4 , 5 , 6 , 7 }
  • C { 1 , 2 , 3 , 4 , 5 , 6 }
  • D { 0 , 2 , 4 , 6 }

Q9:

Using the listing method, express the set of the days of the week.

  • A {Saturday, Sunday, Monday, Tuesday, Wednesday, Thursday, Friday}
  • B {Sunday, Monday, Tuesday}
  • C {Saturday, Sunday, Monday, Tuesday, Wednesday, Thursday}
  • D {Sunday, Monday, Tuesday, Wednesday}
  • E {Sunday, Monday, Tuesday, Wednesday, Thursday}

Q10:

𝑋 is the set of odd numbers greater than 8. Write 𝑋 using the listing method.

  • A 𝑋 = { 9 , 1 1 , 1 3 , … }
  • B 𝑋 = { 1 0 , 1 2 , 1 4 , … }
  • C 𝑋 = { 1 1 , 1 3 , 1 5 , … }
  • D 𝑋 = { 8 , 9 , 1 1 , … }

Q11:

Using the listing method, write the set of months of the year that begin with the letter β€œA”.

  • A {April, August}
  • B {Autumn}
  • C {April, August, January, February, March, May}
  • D {January, February, March, May}
  • E {August}

Q12:

𝐴 is the set of whole numbers a such that 7 > π‘Ž . Write 𝐴 using the listing method.

  • A 𝐴 = { 0 , 1 , 2 , 3 , 4 , 5 , 6 }
  • B 𝐴 = { 8 , 9 , 1 0 , … }
  • C 𝐴 = { 0 , 1 , 2 , 3 , 4 , 5 , 6 , 7 }
  • D 𝐴 = { 7 , 8 , 9 , 1 0 , … }

Q13:

Using the listing method, write the set of integers that are greater than βˆ’ 1 5 5 .

  • A { βˆ’ 1 5 4 , βˆ’ 1 5 3 , βˆ’ 1 5 2 , βˆ’ 1 5 1 , βˆ’ 1 5 0 , … }
  • B { βˆ’ 1 5 3 , βˆ’ 1 5 1 , βˆ’ 1 4 9 , βˆ’ 1 4 7 , βˆ’ 1 4 5 , … }
  • C { βˆ’ 1 5 5 , βˆ’ 1 5 4 , βˆ’ 1 5 3 , βˆ’ 1 5 2 , βˆ’ 1 5 1 , … }
  • D { βˆ’ 1 5 6 , βˆ’ 1 5 7 , βˆ’ 1 5 8 , βˆ’ 1 5 9 , βˆ’ 1 6 0 , … }
  • E { βˆ’ 1 5 5 , βˆ’ 1 5 6 , βˆ’ 1 5 7 , βˆ’ 1 5 8 , βˆ’ 1 5 9 , … }

Q14:

Using the listing method, write the set of integers that are greater than 46.

  • A { 4 7 , 4 8 , 4 9 , 5 0 , 5 1 , … }
  • B { 4 8 , 5 0 , 5 2 , 5 4 , 5 6 , … }
  • C { 4 6 , 4 7 , 4 8 , 4 9 , 5 0 , … }
  • D { 4 5 , 4 4 , 4 3 , 4 2 , 4 1 , … }
  • E { 4 6 , 4 5 , 4 4 , 4 3 , 4 2 , … }

Q15:

𝐴 = { 3 0 4 , 3 0 6 , 3 0 8 } . Which statement describes 𝐴 ?

  • A 𝐴 is the set of even numbers between 303 and 309
  • B 𝐴 is the set of the whole numbers between 303 and 309
  • C 𝐴 is the set of odd numbers between 303 and 309
  • D 𝐴 is the set of prime numbers between 303 and 309

Q16:

Write the elements of the set:

  • A36, 37, 38, 39, 40
  • B36, 38, 39, 40
  • C 37 , 38, 39 , 40, 42
  • D34, 36, 37, 38, 39, 40

Q17:

𝑀 is the set of all two-digit numbers which are divisible by 22. Write 𝑀 using the listing method.

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

Q18:

Find all the elements of the set of 2-digit numbers whose 2 digits are the same.

  • A11, 22, 33, 44, 55, 66, 77, 88, 99
  • B12, 21, 23, 32, 45, 54, 78, 87, 99
  • C12, 21, 24, 42, 67, 76, 79, 97
  • D11, 22, 33, 55, 66, 77, 88, 99

Q19:

Write the elements of the set: The even numbers between (but not including) 59 and 63.

  • A60, 62
  • B61, 62
  • C 58 , 60, 62
  • D 60 , 62, 64

Q20:

Write the elements of the set: The 2-digit numbers that have 7 in the units position.

  • A 1 7 , 2 7 , 3 7 , 4 7 , 5 7 , 6 7 , 7 7 , 8 7 , 9 7
  • B 2 7 , 3 7 , 4 7 , 5 7 , 6 7 , 7 7 , 8 7 , 9 7
  • C 1 7 , 2 7 , 3 7 , 4 7 , 5 7 , 6 8 , 7 7 , 8 7 , 9 7
  • D 1 7 , 2 7 , 3 7 , 4 7 , 5 7 , 6 7 , 7 7 , 8 7

Q21:

π‘Œ is the set of digits in the number 90 590. Write π‘Œ using the listing method.

  • A π‘Œ = { 9 , 5 , 0 }
  • B π‘Œ = { 9 0 5 9 0 }
  • C π‘Œ = { 9 0 , 5 , 9 0 }
  • D π‘Œ = { 9 , 0 , 5 , 9 , 0 }

Q22:

Write the elements of the set:

The odd numbers between, but not including, 799 and 805.

  • A801, 803
  • B801, 805
  • C 797, 802, 804
  • D 799, 801, 803

Q23:

π‘Œ is the set of prime numbers greater than 7 and less than 25. Write π‘Œ using the listing method.

  • A π‘Œ = { 1 1 , 1 3 , 1 7 , 1 9 , 2 3 }
  • B π‘Œ = { 1 1 , 1 3 , 1 7 , 1 9 }
  • C π‘Œ = { 9 , 1 1 , 1 3 , 1 5 , 1 7 , 1 9 , 2 1 , 2 3 }
  • D π‘Œ = { 1 3 , 1 7 , 1 9 , 2 3 }

Q24:

Write the elements of the set:

  • A 5 , 7
  • B 1 , 5 , 7
  • C 4 , 6
  • D 6 , 8
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