Use a truth table to determine whether the ˅ operation distributes over the ˄ operation. That is, use a truth table to determine whether or not p q r

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1. Use a truth table to determine whether the ˅ operation distributes over the ˄ operation. That is, use a truth table to determine whether or not p q r   ( ) is logically equivalent to ( ) ( ) p q p r    . Include appropriate intermediate columns in the truth table and don’t forget to write your conclusion based on the results of the truth table.


2. Write the converse and the contrapositive of the following conditional: Conditional: If it is sunny then it is daytime


3. Use negation properties to write a “useful” negation of the following proposition: Proposition: For every   0 there exists N  such that n n N a A     




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