Given `A={2,3,4},B={2,5,6,7}`.
Construct an example of each of the following
a mapping from B to A.

Answer

To construct a mapping from set B to set A, we need to assign each element in set B to an element in set A.

Given:
- Set A = {2, 3, 4}
- Set B = {2, 5, 6, 7}

### Step-by-Step Solution:

1. **Identify the Sets**:
- We have two sets: A and B.
- Set A contains the elements {2, 3, 4}.
- Set B contains the elements {2, 5, 6, 7}.

2. **Define the Mapping**:
- A mapping from B to A means that each element in B will be paired with an element in A.
- Since set A has 3 elements and set B has 4 elements, we can map multiple elements from B to the same element in A.

3. **Construct the Mapping**:
- We can create a mapping as follows:
- Map 2 from B to 2 from A: (2, 2)
- Map 5 from B to 3 from A: (5, 3)
- Map 6 from B to 2 from A: (6, 2)
- Map 7 from B to 4 from A: (7, 4)

4. **Write the Mapping Relation**:
- The mapping relation can be expressed as:
- R = {(2, 2), (5, 3), (6, 2), (7, 4)}

5. **Conclusion**:
- We have successfully constructed a mapping from set B to set A.

### Final Mapping:
- R = {(2, 2), (5, 3), (6, 2), (7, 4)}