a. Prove: If \(\displaystyle S \preceq T \) and \(\displaystyle T \prec W \), then \(\displaystyle S \prec W \).

b. Prove: If \(\displaystyle S \prec T \) and \(\displaystyle T \preceq W \), then \(\displaystyle S \prec W \).

is this like the transitive property??? I'm so confused.