Question 1

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

Accepted Answer

The set of elements that belong to either $$A or$$ $$B$$, or both.

Question 2

Given $$C = \{2, 3, 4, 5\}$$ and $$D = \{18, 19, 20, 21\}$$, what is $$C \cup D$$?

Accepted Answer

$$\{2, 3, 4, 5, 18, 19, 20, 21\}$$

Question 3

If $$A = \{x | x 	ext{ is an odd integer}\}$$ and $$B = \{x | x 	ext{ is an even integer}\}$$, what is $$A \cup B$$?

Accepted Answer

The set of all integers.

Question 4

Which symbol is used to represent the union of two sets?

Accepted Answer

$$\cup$$

Question 5

If $$E = \{1, 2, 3\}$$ and $$F = \{3, 4, 5\}$$, what is $$E \cup F$$?

Accepted Answer

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

Question 6

Which of the following statements about the union of sets is TRUE?

Accepted Answer

The union of two sets contains all elements that are in either set or both.

Question 7

If $$G = \{a, b, c\}$$ and $$H = \{c, d, e\}$$, what is $$G \cup H$$?

Accepted Answer

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

Question 8

Which real-life scenario best illustrates the concept of union of sets?

Accepted Answer

Combining the list of students who play soccer with those who play basketball to find all students who play either sport.

Question 9

If $$I = \{x | x \u003e 0\}$$ and $$J = \{x | x \u003c 0\}$$, what is $$I \cup J$$?

Accepted Answer

The set of all nonzero real numbers.

Question 10

If $$K = \{2, 4, 6\}$$ and $$L = \{1, 3, 5\}$$, what is $$K \cup L$$?

Accepted Answer

$$\{1, 2, 3, 4, 5, 6\}$$

Question 11

If $$M = \{x | x 	ext{ is a prime number}\}$$ and $$N = \{x | x 	ext{ is a composite number}\}$$, what is $$M \cup N$$?

Accepted Answer

The set of all positive integers greater than 1.

Question 12

If $$O = \{x | x 	ext{ is a multiple of 3}\}$$ and $$P = \{x | x 	ext{ is a multiple of 5}\}$$, what is $$O \cup P$$?

Accepted Answer

The set of all integers that are multiples of 3 or 5.

Question 13

If $$Q = \{x | x 	ext{ is a student enrolled in Math}\}$$ and $$R = \{x | x 	ext{ is a student enrolled in Science}\}$$, what does $$Q \cup R$$ represent?

Accepted Answer

All students enrolled in either Math or Science or both.

Question 14

If $$S = \{x | x 	ext{ is a day of the week}\}$$ and $$T = \{x | x 	ext{ is a weekend day}\}$$, what is $$S \cup T$$?

Accepted Answer

The set of all days of the week.

Question 15

If $$U = \{x | x 	ext{ is a chemical element in water}\}$$ and $$V = \{x | x 	ext{ is a chemical element in air}\}$$, what is $$U \cup V$$?

Accepted Answer

The set of all chemical elements found in either water or air or both.

Question 16

If $$W = \{x | x 	ext{ is a patient with diabetes}\}$$ and $$X = \{x | x 	ext{ is a patient with hypertension}\}$$, what does $$W \cup X$$ represent in a medical context?

Accepted Answer

All patients with either diabetes or hypertension or both.

Question 17

If $$Y = \{x | x 	ext{ is a car manufactured in 2020}\}$$ and $$Z = \{x | x 	ext{ is a car manufactured in 2021}\}$$, what is $$Y \cup Z$$?

Accepted Answer

The set of all cars manufactured in 2020 or 2021.

Understanding Set Union in Intermediate Algebra

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