If P, Q and R are subsets of a set A,then R t | vedclass

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Question

(A) Given the expression $R 	imes (P^c \cup Q^c)^c$. Using De Morgan's Law,we know that $(P^c \cup Q^c)^c = (P^c)^c \cap (Q^c)^c = P \cap Q$. Substit

Vedclass · Accepted Answer

$(R 	imes P) \cap (R 	imes Q)$

Vedclass · Answer

(A) Given the expression $R 	imes (P^c \cup Q^c)^c$. Using De Morgan's Law,we know that $(P^c \cup Q^c)^c = (P^c)^c \cap (Q^c)^c = P \cap Q$. Substituting this back into the expression,we get $R 	imes (P \cap Q)$. Using the distributive property of the Cartesian product over intersection,$R 	imes (P \cap Q) = (R 	imes P) \cap (R 	imes Q)$. Thus,the correct option is $A$.

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

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