PLEASE EXPLAIN STEP BY STEP

1. Use rules of inference to draw conclusions given the following sets of premises. State the inferences rules you use you should use the provided propositions and make conclusions using inference rules. We do not provide the conclusion that you need to prove. Instead you should find a way to combine all the information you have.

(a) If you harvest crops in the fall, then you planted seeds in the spring. If you do not harvest crops in the fall, then an early frost killed all your crops. There was no early frost.

(b) If your spacecraft is in geostationary orbit around the Earth, then your spacecraft is above the equator and at an altitude of about 22,200 miles Your spacecraft is at an altitude of 5000 miles.

(c) If today is not a weekday, then it is Saturday or Sunday It is not a weekday It is not Sunday.

(d) If it rains, then I will skip class If it is too cold, then I will skip class It is always either rainy or cold