Question 1

Which of the following best describes the union of two sets $$A$$ and $$B$$?

Accepted Answer

All elements that are in $$A or$$ $$B or $$both.

Question 2

Given the sets $$A = \{1, 2, 3, 4\}$$ and $$B = \{3, 4, 5, 6\}$$, what is $$A \cap B$$?

Accepted Answer

$$\{3, 4\}$$

Question 3

If $$U is $$the universe of all colors and $$A is $$the set of primary colors, what is the complement $$A'$$?

Accepted Answer

The set of all colors that are not primary colors.

Question 4

Which of the following is an example of disjoint sets?

Accepted Answer

The set of nurses and the set of skydivers, assuming no nurse is a skydiver.

Question 5

Suppose $$A is $$the set of all multiples of $$3$$ and $$B is $$the set of all even numbers. Which of the following is true about $$A \cap B$$?

Accepted Answer

It is the set of all numbers that are multiples of $$6.$$

Question 6

If $$A = \{a, b, c\}$$ and $$B = \{b, c, d\}$$, what is $$A \cup B$$?

Accepted Answer

$$\{a, b, c, d\}$$

Question 7

In a survey of $$50$$ people, $$30$$ saw a political ad on TV, $$25$$ heard it on the radio, and $$12$$ did not see or hear the ad at all. How many people saw or heard the ad?

Accepted Answer

$$38$$

Question 8

Using the same survey data: $$30$$ saw the ad on TV, $$25$$ heard it on the radio, $$12$$ did not see or hear the ad. How many people saw the ad on both TV and radio?

Accepted Answer

$$7$$

Question 9

Which of the following best describes a subset?

Accepted Answer

A set whose elements are all contained in another set.

Question 10

If $$A$$ and $$B$$ are disjoint sets, what is $$A \cap B$$?

Accepted Answer

The empty set $$\emptyset$$

Question 11

Which Venn diagram scenario best represents the relationship between limericks and poems?

Accepted Answer

A circle for limericks entirely inside a larger circle for poems.

Question 12

Let $$U be $$the set of all integers between $$-\pi$$ and $$7.3. $$Which of the following is $$U$$?

Accepted Answer

$$\{-3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7\}$$

Question 13

If $$A is $$the set of all hockey players and $$B is $$the set of all women, which of the following is possible for $$A \cap B$$?

Accepted Answer

The set of all women who are hockey players.

Question 14

Which of the following statements is true about the empty set $$\emptyset$$?

Accepted Answer

It is a subset of every set.

Question 15

Suppose $$A is $$the set of blue vehicles and $$B is $$the set of sedans. Which of the following best describes $$A \cap B$$?

Accepted Answer

The set of all blue sedans.

Question 16

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

Accepted Answer

$$A is a $$subset of $$B.$$

Sets and Venn Diagrams: Foundations for Quantitative Reasoning

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