$$\{x \mid x \text{ is an even natural number and } x \u003c 10\}$$

Question 1

Which of the following sets is NOT well-defined?

Accepted Answer

The set of the best movies ever made.

Question 2

Which of the following is the correct roster form for the set of natural numbers less than 6?

Accepted Answer

$$\{1, 2, 3, 4, 5\}$$

Question 3

Which of the following correctly expresses the set $$A = \{x \mid x 	ext{ is a natural number and } x \u003c 4\} in $$roster form?

Accepted Answer

$$\{1, 2, 3\}$$

Question 4

Which symbol is used to indicate that an element is NOT a member of a set?

Accepted Answer

$$
otin$$

Question 5

Which of the following sets is infinite?

Accepted Answer

The set of all natural numbers.

Question 6

Given $$A = \{a, b, c\}$$ and $$B = \{c, b, a\}$$, which of the following is true?

Accepted Answer

Sets $$A$$ and $$B$$ are equal and equivalent.

Question 7

What is the cardinal number of the set $$C = \{x \mid x 	ext{ is a letter in the word 'MATH'}\}$$?

Accepted Answer

$$4$$

Question 8

Which of the following sets is the empty set?

Accepted Answer

$$\{x \mid x^2$ = -1, x \in \mathbb{N}\}$$

Question 9

If $$A = \{1, 2, 3\}$$ and $$B = \{a, b, c\}$$, which statement is true?

Accepted Answer

Sets $$A$$ and $$B$$ are equivalent but not equal.

Question 10

Which of the following is a correct set-builder notation for the set of all even natural numbers less than 10?

Accepted Answer

$$\{x \mid x 	ext{ is an even natural number and } x \u003c 10\}$$

Question 11

Suppose the universal set $$U = \{1, 2, 3, 4, 5\}. $$Which of the following is a subset of $$U$$?

Accepted Answer

$$\{2, 4\}$$

Question 12

A teacher wants to pair each student in a class with a unique seat. If there are 25 students and 25 seats, which concept is being used?

Accepted Answer

One-to-one correspondence

Question 13

Which of the following statements is true about the set $$S = \{x \mid x 	ext{ is a fraction between 0 and 1}\}$$?

Accepted Answer

Set $$S is $$infinite.

Question 14

If $$A = \{1, 2, 3, 4\}$$ and $$B = \{2, 3, 4, 5\}$$, what is $$A \cap B$$?

Accepted Answer

$$\{2, 3, 4\}$$

Question 15

Which of the following best describes the set $$\{x \mid x 	ext{ is a day of the week}\}$$?

Accepted Answer

A finite, well-defined set

Question 16

If $$A = \{1, 2, 3\}$$ and $$B = \{3, 2, 1\}$$, what is $$n(A)$$ and $$n(B)$$?

Accepted Answer

$$n(A) = 3, n(B) = 3$$

Question 17

Which of the following is NOT a correct way to indicate a set?

Accepted Answer

$$(1, 2, 3)$$

Question 18

If $$A = \{1, 2, 3\}$$ and $$B = \{4, 5, 6\}$$, which of the following is true?

Accepted Answer

Sets $$A$$ and $$B$$ are equivalent but not equal.

Question 19

Which of the following best describes the universal set?

Accepted Answer

A set that contains all elements under consideration for a particular discussion.

Chapter 2: Set Concepts – Foundations of Set Theory in College Algebra

Study Guide - Practice Questions