Let S,T, and W be sets.

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.