Find three non-empty intervals A , B , and C where ( A B ) C ????

1. Find three non-empty intervals A, B, and C where (A ∪ B) ∩ C ???? A ∪ (B ∩ C). Be sure to justify this conclusion by writing each of (A ∪ B) ∩ C and A ∪ (B ∩ C) in interval notation and comparing the results.

Can someone can help me better understand the difference between Union and Intersection as well as some examples, would be greatly appreciated thanks (MATH 127)