Problem:Truth equivalencies
1. Determine which, if any, of the three statements are equivalent.
I) If the house is not brick, then the house is small.
II) Either the house is brick or the house is small.
III) Either the house is not brick or the house is not small.
2. Determine which, if any, of the three statements are equivalent.
I) If tomorrow is not Monday, then today is not Sunday.
II) Today is not Sunday and tomorrow is not Monday.
III) It is not the case that today is Sunday and tomorrow is Monday.
Show the details that enabled you to reach the conclusion.