Math Problem Statement
Svara på 4b 5
Svara på 4b (5) från bilden
Solution
To solve question 4b (5), we need to evaluate the statement "{{1}} \subseteq A" for the set .
Interpretation:
- The statement is about whether the set (the set containing 1) is a subset of .
- A subset means that every element in must also be an element in .
Check:
- The set contains only one element, which is the number 1.
- Looking at the set , we see that itself is an element of , but 1 is not an element of .
Thus, the set is not a subset of , since 1 is not an element of .
Conclusion:
The statement in 4b (5), "," is false.
Would you like further details on subsets or any related questions?
Related questions:
- What is the difference between a subset and an element of a set?
- Can an empty set be a subset of any set?
- Is the set true for this example?
- How can we determine whether a set is a subset of another set in general?
- What happens if we change the set in this problem?
Tip:
When evaluating whether a set is a subset of another, remember that each element of the subset must also be an element in the main set.
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Math Problem Analysis
Mathematical Concepts
Set Theory
Subsets
Elements of Sets
Formulas
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Theorems
Definition of Subsets
Membership in Sets
Suitable Grade Level
Grades 9-12