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If P, Q and R are the subsets of a set A...

If P, Q and R are the subsets of a set A, then prove that `Rxx(P^(c )uuQ^(c ))^(c )=(RxxP)nn(RxxQ)`.

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To prove that \( R \times (P^c \cup Q^c)^c = (R \times P) \cap (R \times Q) \), we will start with the left-hand side (LHS) and manipulate it to show that it equals the right-hand side (RHS). ### Step 1: Write down the LHS The left-hand side is given by: \[ LHS = R \times (P^c \cup Q^c)^c \] ...
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