a) Using the distributive and associative properties of sets, simplify \[ \left[X^{\prime} \cup(Y \cap Z)\right]^{\prime} \]
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According to De Morgan's Law, the complement of a union is the intersection of the complements. Therefore, \[ \left[X^{\prime} \cup (Y \cap Z)\right]^{\prime} = X \cap (Y \cap Z)^{\prime} \] Show more…
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