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  4. If P, Q and R are subsets of a set A, then R × (PC ∪ QC)C equals.

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Q. If P, Q and R are subsets of a set A, then $R \times (P^C \cup Q^C)^C$ equals.

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Solution:

$R \times (P^C \cup Q^C)^C = R \times [(P^C)^C \cap (Q^C)^C]$
$= R \times (P \cap Q) = (R \times P) \cap (R \times Q)$