MATH135_F11_Assignment_1_Solns

# MATH135_F11_Assignment_1_Solns - 1 MATH 135 F 2011...

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1 MATH 135 F 2011: Assignment 1 Due: 8:30 AM, 2011 Sep. 28 in the dropboxes outside MC 4066 Write your answers in the space provided. Family Name: Solutions First Name: I.D. Number: If you used any references beyond the course text and lectures (such as other texts, discussions with colleagues or online resources), indicate this information in the space below. If you did not use any aids, state this in the space provided. 1. Use a truth table to show ¬ ( A B ) ( ¬ A ) ( ¬ B ). A B A B ¬ ( A B ) ¬ A ¬ B ( ¬ A ) ( ¬ B ) T T T F F F F T F F T F T T F T F T T F T F F F T T T T Since the columns associated with the statements ¬ ( A B ) and ( ¬ A ) ( ¬ B ) are identical, the two statements are equivalent. That is, ¬ ( A B ) ( ¬ A ) ( ¬ B ). 2. Use a truth table to determine whether or not A ( B C ) is equivalent to ( A B ) ( A C ). A B C B C A ( B C ) A B A C ( A B ) ( A C ) T T T T T T T T T T F F T T T T T F T F T T T T T F F F T T T T F T T T T T T T F T F F F T F F F F T F F F T F F F F F F F F F

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