Types of Sets: 5 practice questions

1. A = {2, 4, 6} and B = {4, 6, 8}. What is A ∩ B?

   1. {2, 8}
   2. {4, 6}
   3. {2, 4, 6, 8}
   4. { }
   Show the answer

   Answer: B. {4, 6}

   The intersection holds the members found in BOTH sets.

2. A = {2, 4, 6} and B = {4, 6, 8}. What is A ∪ B?

   1. {4, 6}
   2. {2, 8}
   3. {2, 4, 6, 8}
   4. {2, 4, 6, 4, 6, 8}
   Show the answer

   Answer: C. {2, 4, 6, 8}

   The union puts all members together, each written once.

3. How many members are in the set {mango, pawpaw, guava, orange, plum}?

   Write your answer, then check below.

   Show the answer

   Answer:

4. The set of pupils in your class who are 40 metres tall is:

   1. a finite set
   2. an infinite set
   3. the empty set
   4. a universal set
   Show the answer

   Answer: C. the empty set

   Nobody is 40 metres tall — the set has no members.

5. {days of the week} and {colours of the rainbow} both have 7 members. They are:

   1. equal sets
   2. equivalent sets
   3. disjoint and equal
   4. empty sets
   Show the answer

   Answer: B. equivalent sets

   Same NUMBER of members = equivalent; same members = equal.

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