Thread: Interesting question

Prove or disprove:
For all sets A,B, and C

If A n B = ∅ and B n C = ∅, then A n C = ∅

Originally Posted by Akimbo

Prove or disprove:
For all sets A,B, and C

If A n B = ∅ and B n C = ∅, then A n C = ∅

This statement is false.

Let B be the set of rational numbers

Let A,C be the set of irrational numbers.