pb on implication Solution

# pb on implication Solution - Solutions to Problems on...

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Solutions to Problems on Implication Problem 1: A mother and her son were in the New River Valley Mall. The son was begging for Ice Cream. The mother said to her son, If you do not behave, I will not buy you any ice cream !” Let B be the statement “Behave” and I be the statement “buy ice cream” Then we have B II B →≡ ∼∼ where I is sufficient condition and B is the necessary. (It is usually easier to represent statements as positive) A) Which of the following statements are equivalent to the mother’s statement to her son? Justify your answer. 1) Behave or no ice cream. Ans: B II B I B ∨≡ and the sufficient and necessary condition match with the original statement. 2) You must behave before I will buy you any ice cream. Ans: The word “must” means that B is a necessary condition and I is the sufficient condition which match with the original statement. 3) Your good behavior guarantees some ice cream.

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## This note was uploaded on 04/02/2008 for the course MATH 2534 taught by Professor Mpmcquain during the Fall '07 term at Virginia Tech.

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pb on implication Solution - Solutions to Problems on...

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