A) Let P be the propositions Roses are Red and Q be the propositions Violets are Blue. Express each of the following propositions as logical expressions: (I) If roses are not red, then violets are not blue. (II) Roses are Red or Violets are not blue. (III) Either Roses are Red or Violets are Blue (but not both)

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Let $P$ is "Roses are Red", $Q$ is "Violets are Blue".

(I) $\neg P\implies \lnot Q$ is "If roses are not red, then violets are not blue."

(II) $P\lor \lnot Q$ is "Roses are Red or Violets are not blue. "

(III) $(P\lor Q)\land \lnot(P\land Q)$ is "Either Roses are Red or Violets are Blue (but not both)"