Geometry Notes

Geometry Notes PowerPoint PPT Presentation


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What you'll learn. How to determine truth values of conjunctions and disjunctionsHow to construct truth tables. Vocabulary . StatementPremiseTruth valuenegationCompound statement ConjunctionDisjunctionTruth table . Determining Truth Values. Statement

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Geometry Notes

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1. Geometry Notes Section 2-2

2. What you’ll learn How to determine truth values of conjunctions and disjunctions How to construct truth tables

3. Vocabulary Statement Premise Truth value negation Compound statement Conjunction Disjunction Truth table

4. Determining Truth Values Statement—any sentence that is true or false Usually denoted by p or q (the letter p or the letter q represents the whole statement) Premise – just a simple statement Truth Value—Two choices TRUE or FALSE

5. Negations Negation-the opposite of a statement Notation-- ~p

6. Determining Truth Values One more example . . . .

7. Conjunctions A compound statement formed by joining two or more simple statements with the word AND. Symbolically— Let p represent a simple statement Let q represent a second simple statement The conjunction is written as p ? q Read as “p and q”

8. Example Let p represent “It is Tuesday.” Let q represent “There is school tomorrow.” The conjunction is It is Tuesday and there is school tomorrow.

9. Truth Value of Conjunctions-- A conjunction is only true when both simple statements are true.

10. disjunctions A compound statement formed by joining two or more simple statements with the word OR. Symbolically— Let p represent a simple statement Let q represent a second simple statement The disjunction is written as p ? q Read as “p or q”

11. Example Let p represent “It is Tuesday.” Let r represent “It is snowing.” The disjunction is It is Tuesday or it is snowing.

12. Truth Value of Disjunctions-- A disjunction is true when only one simple statement is true.

13. Conjunctions and Disjunctions can be illustrated by. . . . Venn Diagrams

14. Conjunctions and Disjunctions can be illustrated by. . . . Truth Tables You can compute the truth value of a conjunction or disjunction using truth tables. First consider all possible truth value combinations for p and q (You will want to set this up the same way each time).

15. Conjunctions—”AND” Take it one row at a time

17. p ? q (only has to be true)

19. Have you learned? How to determine truth values of conjunctions and disjunctions? How to construct truth tables? Assignment: Worksheet 2.2

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