Analyze the logical form of the following statement a If it

Analyze the logical form of the following statement:

(a) If it is raining, then it is windy and the sun is not shining.

Then anaylze (b) and (c) and determine if the statement is equivalent to either statenent (a) or its converse.

(b) It is windy and not sunny only if it is raining.

(c) Rain is a sufficient condition for wind with no sunshine.

Solution

If it is raining, then it is windy and the sun is not shining.
Let R =