Math Questions 17.1 - Sets Definition and Notation. Representing Sets

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Sets Definition and Notation. Representing Sets Revision Questions

1. . One of the elements below does NOT belong to set A. Which element is it?

1. 21
2. 63
3. 49
4. 33

Reveal AnswerCorrect Answer: D

2. . Which of the following sets is equal to the integers set?

1. A = {3, 7/2, 4, 9/2, 5, 11/2}
2. B = {x ∈ Z / -∞ < x < +∞}
3. C = { -3, -2, -1, 0, 1, 2, 3}
4. D = {x ∈ Z / x > 0}

Reveal AnswerCorrect Answer: B

3. . What is the number of subsets of set A = {x ∈ N / x < 12 ∧ x ⋮ 3}?

1. 4
2. 8
3. 16
4. 32

Reveal AnswerCorrect Answer: B

4. . What are the subsets of set A = {3, 5}?

1. {3}, {5} and {3, 5}
2. ∅, {3} and {5}
3. ∅, {3}, {5} and {3, 5}
4. ∅ and {3, 5}

Reveal AnswerCorrect Answer: C

5. . Which of the following sets is different from the others?

1. {5, 10, 15, 20}
2. {x ∈ N / x ≤ 20 ∧ x ⋮ 5}
3. {x ∈ N, x1 = 5, x → x + 5}
4. 

Reveal AnswerCorrect Answer: C

6. . Which of the following sets is infinite?

1. A = {x ∈ N / x1 = 20, x → x - 2}
2. B = {x ∈ Z / x < 20, x ⋮ 2}
3. C = {x ∈ Z / |x| < 20}
4. D = {x ∈ N / x < 20}

Reveal AnswerCorrect Answer: B

7. . Which of the following is set A = {27, 18, 9, 0} expressed using the roaster method?

1. A = {x ∈ N, x ≤ 27, x ⋮ 9}
2. A = {x ∈ W, x < 27, x ≤ 9}
3. A = {x ∈ Z, x ≤ 27, x ⋮ 3}
4. A = {x ∈ W, x < 28, x ⋮ 9}

Reveal AnswerCorrect Answer: D

8. . Which of the following is the smallest universal set of A = {0 ≤ x ≤ 12, x → x ÷ 2}?

1. Q
2. Z
3. W
4. N

Reveal AnswerCorrect Answer: A

9. . Which of the following is a subset of A = {x ∈ N, x ≤ 11, x odd}?

1. {5, 7, 9}
2. {2, 4, 6, 8, 10}
3. {1, 2, 3, 4}
4. {0, 5, 11}

Reveal AnswerCorrect Answer: A

10. . Which of the following sets are equivalents?

1. X and Z
2. X and Y
3. Z and W
4. Y and W

Reveal AnswerCorrect Answer: A

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5. Continuing learning sets - read our next math tutorial: Operations with Sets

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