Math Help - Partition Construction

1. Partition Construction

Construct two partitions P and Q of [0,3] such that neither partition is a refinement of the other.

2. Originally Posted by Coda202
Construct two partitions P and Q of [0,3] such that neither partition is a refinement of the other.
Let $P = \{ 0,1,3\}$ and $Q = \{0,2,3\}$.
We can see $P\not \subset Q$ and $Q\not \subset P$.