Question

Each of three sets A,B,C has exactly 3 elements. A−B={1,5}; B−C={2,4}; C−A={3,7}. Find A,B and C.

Plse explain step by step

Answer 1

[AI-generated answer — Explain Bot]

To find sets A, B, and C, we can break down the given information and solve it step by step.

1. A - B = {1, 5}
This means that the elements present in set A but not in set B are 1 and 5.

2. B - C = {2, 4}
This means that the elements present in set B but not in set C are 2 and 4.

3. C - A = {3, 7}
This means that the elements present in set C but not in set A are 3 and 7.

To find A, B, and C, we need to consider the elements mentioned in all three equations.

- From equation 1 (A - B), A contains elements 1 and 5.
- From equation 2 (B - C), B contains elements 2 and 4.
- From equation 3 (C - A), C contains elements 3 and 7.

Now, let's combine the information:

A = {1, 5}
B = {2, 4}
C = {3, 7}

So, the sets A, B, and C are: A = {1, 5}, B = {2, 4}, C = {3, 7}.