MEANING: q only if means that p is a necessary condition for q , denoted as : q → pExplanation:p = it is rainingq = it is coldr = it is pleasant ¬ p = it is not rainingNow, “’ It is not RAINING, and it is pleasant” = ¬ p ʌ R “it is not pleasant only if it is raining and it is cold’’ denoted as = ¬ r → (p ʌ q)So, the overall EXPRESSION for ‘’It is not raining and it is pleasant, and it is not pleasant only if it is raining and it is cold’’ will be: ( ¬ p ʌ r ) ʌ ( ¬ r → (p ʌ q ) )Option 1) is TRUE.