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Chapter 1 Continued

Chapter 1 Continued. http:// VIDEO CLIP. Use of Parenthesis. They are used to group statements together For Example (p v q) ^ r p v (q ^ r) ALSO remember PEMDAS – order of operations, what must be done first?. Remember the statements for p , q , r. p: Santa is jolly

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Chapter 1 Continued

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  1. Chapter 1 Continued http://VIDEO CLIP

  2. Use of Parenthesis • They are used to group statements together • For Example • (p v q) ^ r • p v (q ^ r) • ALSO remember PEMDAS – order of operations, what must be done first?

  3. Remember the statements for p , q , r • p: Santa is jolly • q: Christmas is on July 4th • r: George Washington is the 1st U.S. President • What would be the truth value for (p v q) ^ r • What would be the truth value for p v (q ^ r)

  4. GENERAL TRUTH TABLE for (p v q) ^ r

  5. GENERAL TRUTH TABLE for p v (q ^ r)

  6. TRY THIS • p: true • q: true • r : false • Find the truth value for the statement below [p v (q ^ r)] v ~ q

  7. Lets do a ANOTHER Truth Table (p ^ q) v r

  8. Lets do a ANOTHER Truth Tablep ^ (q v r)

  9. Conditional Statement • Is a statement that is true unless p is true and q is false • p is called the antecedent (comes before something else) • q is called the consequent ( the result) • Can also be called the hypothesis and the conclusion • Symbol for conditional statement is an arrow  • p  q is read as “if p then q”

  10. EXAMPLES OF Conditional Statements Let p be the sentence “Santa is Jolly” Let q be the sentence “ Christmas is on July 4th” Let r be the sentence “George Washington was the first U.S. President: Write a conditional statement of p and q Write a conditional statement of p and r Write a conditional statement of q and r

  11. Check your AnSwErS • p  q is “ If Santa is jolly, then Christmas is on July 4th • q  r is “ If Christmas is on July 4th, then George Washington is the 1st US President • p  r is “If Santa is jolly, then George Washington is the 1st US President

  12. Try Conditionals & Negations • ~ p  q • ~q  r • p  ~q

  13. Check your Answers • ~ p  q “If Santa is not jolly, then Christmas is on July 4th” • ~q  r “If Christmas is not on July 4th, then George Washington is the 1st US President • p  ~q “If Santa is jolly, then Christmas is not on July 4th

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