Worksheet: Empty Set

In this worksheet, we will practice defining the empty set and using its properties to solve problems including operations on sets.

Q1:

What is 𝑋𝑋?

  • A
  • B0
  • C 𝑋
  • D { 0 }

Q2:

Find {56}{65}.

  • A { 5 , 6 }
  • B
  • 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 6
  • BThe set of even numbers between (but not including) 5 and 6
  • CThe set of odd numbers between (but not including) 5 and 27
  • DThe set of whole 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}{0,3}.

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

Q6:

What is 𝑋𝑈?

  • A { 0 }
  • B 𝑋
  • C
  • D0

Q7:

What is 𝑋?

  • A { 0 }
  • B 𝑋
  • C
  • D0

Q8:

What is 𝑋?

  • A 𝑋
  • B0
  • C { 0 }
  • D

Q9:

Find {5,2,3,0,8}.

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

Q10:

Use =, , or to fill in the gap: {0}.

  • A
  • B
  • C
  • D =

Q11:

Given {9,2}{𝑥,9}=, find the value of 𝑥.

Q12:

Given that 𝑋={3,6}, find 𝑋.

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

Q13:

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

  • A
  • B { 0 }
  • C 𝑈
  • D 𝐴

Q14:

Given that 𝑋={1,3,4,5}, find 𝑋.

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

Q15:

Which of the following choices is NOT an empty set?

  • AThe set of odd numbers between (but not including) 6 and 7
  • BThe set of even numbers between (but not including) 6 and 7
  • CThe set of whole numbers between (but not including) 6 and 22
  • DThe set of whole numbers between (but not including) 6 and 7

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