2. Suppose that q = "it rains" and s = "there are no clouds in the sky." Translate the following propositions of logic into prose if-then statements:
(a) q → ~s
(b) ~s → q
(«)~q → s
(d) Is the statement of (b) logically the same as that of (a)?
(e) Is the statement of (c) logically the same as that of (b)?
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