Question

Which statements are true about x? Select three options

Answer 1

The true statements about x are:

x ∈ B ∪ C

x ∈ B ∩ C

x ∈ A ∪ C

Further explanation

A set is a clearly defined collection of objects.

To declare a set can be done in various ways such as:

• With words or the nature of membership

• With set notation

• By registering its members

• With Venn diagrams

Multiplying set A x B is by pairing each member of set A with each member of set B.

Example:

A = {1, 2, 3}

B = {a, b}

Then

A x B = {(1, a), (1, b), (2, a), (2, b), (3, a), (3, b)}

Union of set A and B ( A ∪ B ) is rewriting each member A and combined with each member B.

Intersection of set A and B ( A ∩ B ) is to find the members that are both in Set A and Set B.

Example:

A = {1, 2, 3, 4}

B = {3, 4, 5}

A ∪ B = {1, 2, 3, 4, 5}

A ∩ B = {3, 4}

Let us now tackle the problem!

To solve this problem, it is better to draw the Venn diagram as shown in the picture in the attachment.

Let :

A = { p , q , s , t }

B = { q , r , t , x }

C = { s , t , v , x }

$\texttt{ }$

$B \cup C = \{ r , q , t , v , \boxed{x} \}$ ✔

$B \cap C = \{ t  , \boxed{x} \}$ ✔

$A \cup C = \{ p , q , s , t , v , \boxed{x} \}$ ✔

$A \cap C = \{ s , t \}$ ⤬

$A = \{ p , q , s , t \}$ ⤬

$\texttt{ }$

From the results above, it can be concluded that the correct statements are:

x ∈ B ∪ C

x ∈ B ∩ C

x ∈ A ∪ C

$\texttt{ }$

Learn more

• Mean , Median and Mode : https://brainly.com/question/2689808
• Centers and Variability : https://brainly.com/question/3792854
• Subsets of Set : https://brainly.com/question/2000547

Answer details

Grade: High School

Subject: Mathematics

Chapter: Sets

Keywords: Sets , Venn , Diagram , Intersection , Union , Mean , Median , Mode

Answer 2

Answer:

The first three options

Step-by-step explanation:

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