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PROBLEM SET NO. 2 1. Use the fowolling statements: L: The weather is gloomy. U. It is sunny. C. We are going for a picnic. K: We will not be travelling. /: The tour goes to Spain. E. We will go to Italy. R. The tour will not go to France. A. Translate the following compound statement into symbolic form. 1. The tour goes to Spain or the tour goes to France. 2. We are going for a picnic if and only if it is sunny. 3. If the weather is not gloomy, then we will be travelling 4. We will not go to Italy and the tour will go to France. 5. If it is sunny, then the weather is not gloomy. B. Ttranslate the following symbolic form to compound statement. 1. -K -+1 2. -RA-E 3. CHE 4. KvC 5. -UAL II. Construct a truth table for the following: a. -p A (q - p) b. (-pv -q) - I-(pa -q)] c. [- (p - -r) x -r]-r d. (p A [(p - q) (q- )1)