Math Problem Statement
Solution
The problem shows that sets and , and it asks for the arrow diagram that represents the relation "faktor dari" (which translates to "factor of") from set to set .
To determine this, we need to understand the concept of "factor of". For an element in set to be related to an element in set , the element in must be a factor of the element in .
Checking for each element in set and its factors in set :
- 1 is a factor of 2, 4, and 6.
- 2 is a factor of 2, 4, and 6.
- 3 is a factor of 6.
- 4 is a factor of 4.
- 5 is not a factor of any element in .
Now comparing this to the diagrams:
- Option A correctly shows:
- 1 connected to 2, 4, 6.
- 2 connected to 2, 4, 6.
- 3 connected to 6.
- 4 connected to 4.
- 5 not connected to any element.
Thus, the correct answer is Option A.
Would you like further details on how the factors are calculated?
Here are five related questions:
- How do you determine if one number is a factor of another?
- Can a number be a factor of itself?
- What is the significance of prime numbers in factorization?
- How are sets and relations represented in mathematical diagrams?
- What is the difference between a function and a relation?
Tip:
When dealing with sets and relations, always verify the conditions of the relation (such as "factor of") by applying them to each element individually to avoid mistakes.
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Math Problem Analysis
Mathematical Concepts
Set Theory
Relations
Factors
Formulas
-
Theorems
Factorization Theorem
Suitable Grade Level
Grade 6-8
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