3.1-2 - 3.1 STATEMENTS, NEGATIONS, AND QUANTIFIED STATEMENTS

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3.1 STATEMENTS, NEGATIONS, AND QUANTIFIED STATEMENTS Definitions:  A  statement   is a sentence that is either true or false but not both simultaneously.   Negating  a  statement makes a true sentence false or a false statement true, usually using the word  not .    The negation of  sentence  p  is expressed in writing as  ~p .   Quantified  statements use words such as  all, some, none, no Generally, the negation of "all are" is "some are not" and vice versa; and the negation of "some are" is "no" or  "none" and vice versa. Form the negation of each statement: 1. Buenos Aires is the capital of Venezuela.   2. Tigers are not cats.   3. Homer wrote  War and Peace .   4. p < 9 5. 7x + 11y ≥ 77 Using  p q , and  r  represent statements 1, 2, and 3 above, express each statement symbolically and their  negation: 6. 7. 8. Let a, b, c, and d represent the following statements:
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This note was uploaded on 01/04/2012 for the course MGF 1106 taught by Professor Staff during the Fall '08 term at Miami Dade College, Miami.

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3.1-2 - 3.1 STATEMENTS, NEGATIONS, AND QUANTIFIED STATEMENTS

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