Example of sets where A∪B=A∪C but B≠C and A∩B=A∩C but B≠C

[hi-liter]

Can someone provide me an example of three sets of integers A, B and C such that A$$\cup$$B=A$$\cup$$C, but B≠C. And also, A$$\cap$$B=A$$\cap$$C, but B≠C.

Thanks a lot :)

 

[mathman]

Case 1: A={1,2}, B={1}, C={2}.
Case 2: A={1}, B={1,2}, C={1}

 

[hi-liter]

Mathman, can you please explain to me how those numbers apply to the statements ?

 

[statdad]

Mathman, can you please explain to me how those numbers apply to the statements ?

Use them to find the unions and intersections around which your first post centered.

 

[mathman]

Mathman, can you please explain to me how those numbers apply to the statements ?

Do you a problem with the notation? Specifically: A = {1,2} means A is a set with elements 1 and 2. I hope this clarifies it.