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:

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

Q2:

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

  • ANull
  • BNot null

Q3:

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

Q4:

Define the term empty set.

Q5:

Is the following set null or not?

The set of the governerates in Upper Egypt that are located on the Mediterranean Sea.

  • Anot null
  • Bnull

Q6:

Is the following set null or not?

The set of triangles with 4 sides.

  • Anot null
  • Bnull

Q7:

Is the following set null or not?

The set of even numbers less than 2.

  • ANull
  • BNot null

Q8:

Is the following set null or not?

The set of Arabic countries in Australia.

  • Anot null
  • Bnull

Q9:

Is the set of Egyptian governorates in Asia null or not?

  • ANull
  • BNot null

Q10:

Is the following set null or not?

The set of students in your class who have been to the moon.

  • Anull
  • Bnot null

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