3.3-3.6

3.3-3.6 - 3.3 The Conditional The compound statement...

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3.3 The Conditional The compound statement "if p then q" is symbolized by p   q this is called a conditional statement.  The  component coming after  if  is the antecedent, which gives a condition (but not necessarily the only condition)  under which the component coming after  then , the consequent, will take place. A conditional is false only  when the antecedent is true and the consequent is false.  The negation of a conditional p   q is p   ~q.   The  truth of a conditional statement does not change if the antecedent and consequent are reversed and  both are negated.     A tautology is a compound statement that is always true.  If two compound statements  have the same truth value in every possible case, they are equivalent ( ).   Let a and b represent the following statements:   a:  You take the math course;  b:  You take the math lab.   Express each of the symbolic statements in words: 1.  b 2. ~a   ~b Let c,  d, and e represent the following statements: c:  The house is cool d:  The a/c is working. e. It’s hot outside. Write each of the following sentences in symbolic form:
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This note was uploaded on 01/04/2012 for the course MGF 1106 taught by Professor Nicoli-succo during the Fall '08 term at FIU.

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3.3-3.6 - 3.3 The Conditional The compound statement...

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