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Lesson: Empty Set

Sample Question Videos

Worksheet • 15 Questions • 1 Video

Q1:

What is 𝑋 βˆ’ 𝑋 ?

  • A βˆ…
  • B { 0 }
  • C 𝑋
  • D0

Q2:

Find { 5 6 } ∩ { 6 5 } .

  • A βˆ…
  • B { 5 , 6 }
  • C { 5 }
  • D { 6 }

Q3:

Which of the following choices is NOT an empty set?

  • Athe set of odd numbers between (but not including) 5 and 27
  • Bthe set of whole numbers between (but not including) 5 and 6
  • Cthe set of even numbers between (but not including) 5 and 6
  • Dthe set of odd numbers between (but not including) 5 and 6

Q4:

Is the set of the months of the year null or not?

  • ANull
  • BNot null

Q5:

Find { 3 , 0 } βˆ’ { 0 , 3 } .

  • A βˆ…
  • B { 0 , 3 }
  • C { 0 }
  • D { 3 }

Q6:

What is 𝑋 βˆ’ π‘ˆ ?

  • A βˆ…
  • B { 0 }
  • C 𝑋
  • D0

Q7:

What is βˆ… βˆ’ 𝑋 ?

  • A βˆ…
  • B { 0 }
  • C 𝑋
  • D0

Q8:

What is 𝑋 βˆ’ βˆ… ?

  • A 𝑋
  • B { 0 }
  • C βˆ…
  • D0

Q9:

Find βˆ… βˆ’ { 5 , 2 , 3 , 0 , 8 } .

  • A βˆ…
  • B { 5 , 2 , 3 , 0 , 8 }
  • C { 3 , 5 , 8 , 0 }
  • D { 5 }

Q10:

Use = , ∈ , βŠ‚ or βŠ„ to fill in the gap:

  • A βŠ‚
  • B βŠ„
  • C ∈
  • D =

Q11:

Given { 9 , 2 } βˆ’ { π‘₯ , 9 } = βˆ… , find the value of π‘₯ .

Q12:

Given that 𝑋 = { 3 , 6 } , find 𝑋 ∩ βˆ… .

  • A βˆ…
  • B { 0 }
  • C { 6 }
  • D { 3 , 6 }

Q13:

Given that 𝐴 is a subset of the universal set π‘ˆ , what is 𝐴 ∩ 𝐴 ?

  • A βˆ…
  • B { 0 }
  • C 𝐴
  • D π‘ˆ

Q14:

Given that 𝑋 = { 1 , 3 , 4 , 5 } , find 𝑋 ∩ βˆ… .

  • A βˆ…
  • B { 0 }
  • C { 1 , 4 }
  • D { 1 , 3 , 4 , 5 }

Q15:

Which of the following choices is an empty set?

  • Athe set of odd numbers between (but not including) 49 and 51
  • Bthe set of even numbers between (but not including) 37 and 57
  • Cthe set of whole numbers between (but not including) 37 and 57
  • Dthe set of odd numbers between (but not including) 37 and 57
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