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Warm Up

Week 7. Warm Up. 09.27.11. 1) Write the equation for the line that goes through the point and slope:. ( 2, -9 ) and m = 3. If a conditional statement is true and its hypothesis is true, then the conclusion is true. Law of detachment. If p → q is true and p is true , then q is true .

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Warm Up

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  1. Week 7 Warm Up 09.27.11 1) Write the equation for the line that goes through the point and slope: ( 2, -9 ) and m = 3

  2. If a conditional statement is true and its hypothesis is true, then the conclusion is true. Law of detachment If p → q is true and p is true, then q is true. If Josh misses practice, then he will not start in the game. Ex 1 Josh misses practice.

  3. If a conditional statement is true and its hypothesis is true, then the conclusion is true. Law of detachment If p → q is true and p is true, then q is true. If Josh misses practice, then he will not start in the game. Ex 1 Josh misses practice.

  4. If a conditional statement is true and its hypothesis is true, then the conclusion is true. Law of detachment If p → q is true and p is true, then q is true. If Josh misses practice, then he will not start in the game. Ex 1 Josh misses practice.

  5. If a conditional statement is true and its hypothesis is true, then the conclusion is true. Law of detachment If p → q is true and p is true, then q is true. If Josh misses practice, then he will not start in the game. Ex 1 Josh misses practice.

  6. If a conditional statement is true and its hypothesis is true, then the conclusion is true. Law of detachment If p → q is true Makes this true! and p is true, then q is true. If Josh misses practice, then he will not start in the game. Ex 1 Josh misses practice.

  7. If a conditional statement is true and its hypothesis is true, then the conclusion is true. Law of detachment If p → q is true and p is true, then q is true. If Josh misses practice, then he will not start in the game. Ex 1 Josh misses practice. Conclusion: Josh does not start in the game.

  8. Law of transitivity (syllogism) If p → q and q → r are true conditional statements, then p → r is true. p → q q → r p → r Ex 2 If it is Saturday, then Sylvia has a lot of free time. If Sylvia has a lot of free time, then she will go shopping.

  9. Law of transitivity (syllogism) If p → q and q → r are true conditional statements, then p → r is true. p → q q → r p → r Ex 2 If it is Saturday, then Sylvia has a lot of free time. If Sylvia has a lot of free time, then she will go shopping.

  10. Law of transitivity (syllogism) If p → q and q → r are true conditional statements, then p → r is true. p → q q → r p → r Ex 2 If it is Saturday, then Sylvia has a lot of free time. If Sylvia has a lot of free time, then she will go shopping.

  11. Law of transitivity (syllogism) If p → q and q → r are true conditional statements, then p → r is true. p → q q → r p → r Ex 2 If it is Saturday, then Sylvia has a lot of free time. If Sylvia has a lot of free time, then she will go shopping.

  12. Law of transitivity (syllogism) If p → q and q → r are true conditional statements, then p → r is true. p → q q → r p → r Ex 2 If it is Saturday, then Sylvia has a lot of free time. If Sylvia has a lot of free time, then she will go shopping.

  13. Law of transitivity (syllogism) If p → q and q → r are true conditional statements, then p → r is true. p → q q → r p → r Ex 2 If it is Saturday, then Sylvia has a lot of free time. If Sylvia has a lot of free time, then she will go shopping. If it is Saturday, then Sylvia will go shopping. Conclusion:

  14. If it does not rain, then the river will dry up. If the river dries up the boats cannot float. Ex 3 If it does not rain, then the boats cannot float. Conclusion: Law of Logic: Transitivity If it does not rain, then the river will dry up. It does not rain. Ex 4 The river dries up. Conclusion: Law of Logic: Detachment

  15. If it is six pm, then the pizza shop is open. If the pizza shop is open, then Suzan will go buy a pizza. Do: 1 Conclusion: Law of Logic: Assignment: Textbook Page 93, 45 – 48 All. And #51 Handout – Laws of Detachment and Syllogism

  16. If it is Halloween, Sheela will buy lots of candy. If Sheela buys lots of candy, then she will eat all the candy. Ex 5 p → q: If it is Halloween, then Sheela will buy lots of candy. q → r: If Sheela buys lots of candy, then she will eat all the candy. p → r: If it is Halloween, then Sheela will eat all the candy.

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