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Let $A=\{t, u, v, w\}$, and let $S_{1}$ be the set of all subsets of $A$ that do not contain $w$, and $S_{2}$ the set of all subsets of $A$ that contain $w$. (a) Find $S_{1}$. (Enter your answer in set-roster notation. Enter EMPTY or $\varnothing$ for the empty set.) \[ \{\theta,(t),(u),(v),(t, u),(t, v),(u, v),(t, u, v)\} \] (b) Find $S_{2}$. (Enter your answer in set-roster notation. Enter EMPTY or $\varnothing$ for the empty set.) \[ \{\{w\},\{t, w\},\{u, v\},\{v, w\},\{t, u, w\},\{t, v, w\},\{u, v, w\},\{t, u, v, w\}\} \]

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LMOTSU The First Answerer