Quiz Chapter 11: Introduction to Set

1. If A ⊂ B, which of the following statements is ALWAYS TRUE?

1. Every element of B is in A
2. Every element of A is in B
3. n(A) is greater than n(B)
4. A' = B

2. Which statement correctly describes the relationship between ϕ and set A?

1. A ⊂ ϕ
2. ϕ ∈ A
3. ϕ ⊂ A
4. n(ϕ) = 1

3. Which set notation describes set Q = {2, 3, 5, 7, 11}?

1. {x : x is an odd number less than 12}
2. {x : x is a prime number less than 12}
3. {x : x is a factor of 11}
4. {x : x is a whole number less than 12}

4. Given ξ = {1, 2, 3, 4, 5, 6, 7, 8} and A = {2, 4, 6, 8}. What is the relationship between A and ξ?

1. A = ξ
2. A ⊂ ξ
3. ξ ⊂ A
4. A' = ξ

5. Which symbol is used to denote that an object belongs to a set?

1. ⊂
2. ∈
3. ∉
4. ξ

6. Let ξ = {1, 2, 3, 4, 5, 6, 7, 8, 9} and A = {2, 3, 5, 7}. Find A'.

1. {1, 4, 6, 8, 9}
2. {2, 3, 5, 7}
3. {1, 2, 3, 4, 5}
4. {6, 7, 8, 9}

7. If set S has 3 elements, how many subsets does it have?

1. 3
2. 6
3. 8
4. 9

8. How many elements are in the set P = {x : x is a perfect square, 10 < x < 30}?

1. 2
2. 3
3. 4
4. 5

9. Given set P = {x : x is an even number, 1 ≤ x ≤ 10}. Find n(P).

1. 4
2. 5
3. 10
4. 6

10. Which of the following represents an empty set?

1. {0}
2. { ϕ }
3. ϕ
4. { null }