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 of the following sets is an EMPTY SET?

1. {x : x is a prime number and even}
2. {x : x is a month with 32 days}
3. {x : x is a multiple of 3 less than 5}
4. {0}

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

1. ⊂
2. ∈
3. ∉
4. ξ

4. Given set B = {x : x is a multiple of 5 and x < 25}. Which of the following is TRUE?

1. 25 ∈ B
2. 15 ∉ B
3. 20 ∈ B
4. 0 ∈ B

5. If set X = {a, b}, which of the following is NOT a subset of X?

1. ϕ
2. {a}
3. {a, b}
4. {a, b, c}

6. 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}

7. If n(ξ) = 20 and n(A) = 7, find n(A').

1. 13
2. 27
3. 14
4. 7

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

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

9. 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

10. Given set T = {factors of 12}. Which number is NOT an element of T?

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