Answer:
Step-by-step explanation:
we know that
The Euler's formula state that: In a polyhedron, the number of vertices, minus the number of edges, plus the number of faces, is equal to two
in this problem we have
substitute the given values
solve for V
Combine like terms left side
Adds 6 both sides
The true statements about x are:
x ∈ B ∪ C
x ∈ B ∩ C
x ∈ A ∪ C
<h3>Further explanation</h3>A set is a clearly defined collection of objects.
To declare a set can be done in various ways such as:
Multiplying set A x B is by pairing each member of set A with each member of set B.
<u>Example: </u>
<em>A = {1, 2, 3} </em>
<em>B = {a, b} </em>
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.
<u>Example: </u>
<em>A = {1, 2, 3, 4} </em>
<em>B = {3, 4, 5} </em>
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 }
✔
✔
✔
⤬
⤬
From the results above, it can be concluded that the correct statements are:
x ∈ B ∪ C
x ∈ B ∩ C
x ∈ A ∪ C
Grade: High School
Subject: Mathematics
Chapter: Sets
Keywords: Sets , Venn , Diagram , Intersection , Union , Mean , Median , Mode
