State { 2 ,3 , 4 } is a subset of { 1 , 2 , 3, 4 , 5 } ?

Explanation

To determine if the set {2, 3, 4} is a subset of the set {1, 2, 3, 4, 5}, we can follow these steps:

### Step-by-Step Solution:

1. **Define the Sets**:
- Let set A = {2, 3, 4}
- Let set B = {1, 2, 3, 4, 5}

2. **Understanding Subsets**:
- A set A is considered a subset of set B (denoted as A ⊆ B) if every element of A is also an element of B.

3. **Check Each Element**:
- We need to check if each element in set A is present in set B.
- Check element 2:
- 2 is in B.
- Check element 3:
- 3 is in B.
- Check element 4:
- 4 is in B.

4. **Conclusion**:
- Since all elements of set A (2, 3, and 4) are found in set B (1, 2, 3, 4, 5), we can conclude that set A is indeed a subset of set B.
- Therefore, {2, 3, 4} is a subset of {1, 2, 3, 4, 5}.

### Final Statement:
Yes, {2, 3, 4} is a subset of {1, 2, 3, 4, 5}.

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