Q: Given $$C = \{2, 3, 4, 5\}$$, which of the following statements is true?

$$3$$ \text{ is an element of } C$

Q: Which of the following statements about set intersection is correct?

$$A \cap B$$ \text{ is always a subset of both } A \text{ and } B$

Question 1

Given the sets $$A = \{x \mid x 	ext{ is an even integer}\}$$ and $$D = \{22, 23, 24, 25\}$$, what is $$A \cap D$$?

Accepted Answer

$$\{22, 24\}$$

Question 2

If $$B = \{x \mid x 	ext{ is an odd integer}\}$$ and $$C = \{2, 3, 4, 5\}$$, what is $$B \cap C$$?

Accepted Answer

$$\{3, 5\}$$

Question 3

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

Accepted Answer

The set of all elements common to both $$A$$ and $$B$$

Question 4

If $$A = \{x \mid x 	ext{ is an even integer}\}$$ and $$C = \{2, 3, 4, 5\}$$, what is $$A \cap C$$?

Accepted Answer

$$\{2, 4\}$$

Question 5

Suppose $$D = \{22, 23, 24, 25\}$$ and $$B = \{x \mid x 	ext{ is an odd integer}\}. $$What is $$B \cap D$$?

Accepted Answer

$$\{23, 25\}$$

Question 6

If $$A = \{x \mid x 	ext{ is an even integer}\}$$, which of the following numbers is NOT in $$A$$?

Accepted Answer

$$5$$

Question 7

Given $$C = \{2, 3, 4, 5\}$$, which of the following statements is true?

Accepted Answer

$$3$$ 	ext{ is an element of } C$

Question 8

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

Accepted Answer

$$\{\}$$

Question 9

Which of the following real-life scenarios best represents the concept of set intersection?

Accepted Answer

Finding people who are both doctors and musicians

Question 10

If $$A = \{x \mid x 	ext{ is an even integer}\}$$, $$B = \{x \mid x 	ext{ is an odd integer}\}$$, and $$C = \{2, 3, 4, 5\}$$, what is $$(A \cap C) \cup (B \cap C)$$?

Accepted Answer

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

Question 11

A hospital keeps two lists: $$A is $$the set of patients with high blood pressure, and $$B is $$the set of patients with diabetes. What does $$A \cap B$$ represent?

Accepted Answer

Patients who have both high blood pressure and diabetes

Question 12

If $$D = \{22, 23, 24, 25\}$$, which of the following is the correct description of $$D$$?

Accepted Answer

A finite set of four consecutive integers

Question 13

If $$A = \{x \mid x 	ext{ is an even integer}\}$$ and $$D = \{22, 23, 24, 25\}$$, which of the following is NOT in $$A \cap D$$?

Accepted Answer

$$23$$

Question 14

If $$C = \{2, 3, 4, 5\}$$, what is the cardinality (number of elements) of $$C$$?

Accepted Answer

$$4$$

Question 15

Which of the following statements about set intersection is correct?

Accepted Answer

$$A \cap B$$ 	ext{ is always a subset of both } A 	ext{ and } B$

Understanding Set Intersection in Intermediate Algebra

Guida di studio - Domande di pratica

Study guide - Flashcard