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

Start Practicing

Worksheet: Empty Set

Q1:

What is 𝑋 βˆ’ 𝑋 ?

  • A0
  • B { 0 }
  • C 𝑋
  • D βˆ…

Q2:

Find { 5 6 } ∩ { 6 5 } .

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

Q3:

Find { 3 , 0 } βˆ’ { 0 , 3 } .

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

Q4:

What is βˆ… βˆ’ 𝑋 ?

  • A0
  • B { 0 }
  • C 𝑋
  • D βˆ…

Q5:

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

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

Q6:

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

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

Q7:

Find βˆ… βˆ’ { 5 , 2 , 3 , 0 , 8 } .

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

Q8:

What is 𝑋 βˆ’ π‘ˆ ?

  • A0
  • B { 0 }
  • C 𝑋
  • D βˆ…

Q9:

Which of the following choices is NOT an empty set?

  • Athe set of odd numbers between (but not including) 5 and 6
  • 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 27

Q10:

Which of the following choices is an empty set?

  • Athe set of odd numbers between (but not including) 37 and 57
  • 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) 49 and 51

Q11:

What is 𝑋 βˆ’ βˆ… ?

  • A0
  • B { 0 }
  • C βˆ…
  • D 𝑋

Q12:

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

  • ANot null
  • BNull

Q13:

Given that is a subset of the universal set , what is ?

  • A
  • B
  • C
  • D

Q14:

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

Q15:

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

  • A =
  • B βŠ„
  • C ∈
  • D βŠ‚