Complete the truth tables for the following numbered compound statements. Include all the permutations of T and F for the simple input statements, as exemplified in the first two questions. Assume the following symbols for the simple input statements: 5 = it will snow r = it will rain The target compound statement should be placed in the right-most column and you may use the helper column(s) in between, as needed. You may find the correct symbolic notations for each compound statement in Exercise 22. (You may typelcopyl paste 1. It will not snow today. llletse Syr'rtib)0|S into your 5 a emen 8 AND: H or & OR: U NOT: ~ or - |F..THEN..: a or -> 2. If it snows today, then it will rain. 3. If it doesn't snow today, then it will rain. 4. If it doesn't snow today, then it will not rain 5. It is not the case that if it snows today, then it will rain. (You may typelcopyfpaste these symbols into your statements) 6. It will snow today, only if it rains. 7. It will snow today or it will rain today. 8. Well, either it will snow today, or it won't. Exercise 23 9. It will snow and rain today. {You may type/copyfpaste these symbols into your statements) E AND: F1 or & OR: U NOT: - or - |F..THEN..: > or -> 10. It will snow today and it will not rain today. 11. It can't both snow and rain today