Write this number in standard notation.
1 answer:
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Answer:
Step-by-step explanation:
Given that,
y = x + 6 equation 1
3x - 3y = -18. Equation 2
Substitute equation 1 into equation 2
3x-3(x+6) = -18
3x - 3x - 18 = -18
-18 = -18
Therefore, it has no solution. Check attachment for echelon matrix solution
B. y = -2x + 5 equation 1
2x + y = -7. Equation 2
Substitute equation 1 into 2
2x -2x + 5 = -7
5 = -7
Since the equation is not balance, then, it has infinite numbers of solution.
C. y = -4x + 11. Equation 1
6x + y = 11. Equation 2
Substitute equation 1 into 2
6x - 4x + 11 = 11
2x = 11 - 11
2x = 0
x = 0
Also, y = -4x + 11
y = 0 + 11 = 11
Then, this has a unique solution I.e. one solution.
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:
- 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.
<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
- Mean , Median and Mode : brainly.com/question/2689808
- Centers and Variability : brainly.com/question/3792854
- Subsets of Set : brainly.com/question/2000547
Grade: High School
Subject: Mathematics
Chapter: Sets
Keywords: Sets , Venn , Diagram , Intersection , Union , Mean , Median , Mode
