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

Warm Up 09.27.11Week 7

1) Write the equation for the line that goes through the point and slope:

( 2, -9 ) and m = 3

Geometry

2.3 Day 2

I will use and understand the difference between the law of detachment and the law

of transitivity.

If p → q is true and p is true, then q is true.

Law of detachment

If a conditional statement is true and its hypothesis is true, then the conclusion is true.

If Josh misses practice, then he will not start in the game. Josh misses practice.

Ex 1

Geometry

2.3 Day 2

I will use and understand the difference between the law of detachment and the law

of transitivity.

If p → q is true and p is true, then q is true.

Law of detachment

If a conditional statement is true and its hypothesis is true, then the conclusion is true.

If Josh misses practice, then he will not start in the game. Josh misses practice.

Ex 1

Geometry

2.3 Day 2

I will use and understand the difference between the law of detachment and the law

of transitivity.

If p → q is true and p is true, then q is true.

Law of detachment

If a conditional statement is true and its hypothesis is true, then the conclusion is true.

If Josh misses practice, then he will not start in the game. Josh misses practice.

Ex 1

Geometry

2.3 Day 2

I will use and understand the difference between the law of detachment and the law

of transitivity.

If p → q is true and p is true, then q is true.

Law of detachment

If a conditional statement is true and its hypothesis is true, then the conclusion is true.

If Josh misses practice, then he will not start in the game. Josh misses practice.

Ex 1

Geometry

2.3 Day 2

I will use and understand the difference between the law of detachment and the law

of transitivity.

and p is true, then q is true.

Law of detachment

If a conditional statement is true and its hypothesis is true, then the conclusion is true.

If Josh misses practice, then he will not start in the game. Josh misses practice.

If p → q is true

Ex 1

Geometry

2.3 Day 2

I will use and understand the difference between the law of detachment and the law

of transitivity.

If p → q is true and p is true, then q is true.

Law of detachment

If a conditional statement is true and its hypothesis is true, then the conclusion is true.

If Josh misses practice, then he will not start in the game. Josh misses practice.

Conclusion: Josh does not start in the game.

Ex 1

If p → q and q → rare true conditional statements,

then p → r is true.

Ex 2

Law of transitivity(syllogism)

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.

p →

q rq

→

p →

r

If p → q and q → rare true conditional statements,

then p → r is true.

Ex 2

Law of transitivity(syllogism)

If Sylvia has a lot of free time, then she will go shopping.

p →

q rq

→

p →

r

If it is Saturday, then Sylvia has a lot of free time.

If p → q and q → rare true conditional statements,

then p → r is true.

Ex 2

Law of transitivity(syllogism)

If Sylvia has a lot of free time, then she will go shopping.

p →

q rq

→

p →

r

If it is Saturday, then Sylvia has a lot of free time.

If p → q and q → rare true conditional statements,

then p → r is true.

Ex 2

Law of transitivity(syllogism)

p →

q rq

→

p →

r

If it is Saturday, then Sylvia has a lot of free time.

If Sylvia has a lot of free time,

shopping.

then she will go

If p → q and q → rare true conditional statements,

then p → r is true.

Ex 2

Law of transitivity(syllogism)

p →

q rq

→

p →

r

If it is Saturday, then Sylvia has a lot of free time.

If Sylvia has a lot of free time,

shopping.

then she will go

If p → q and q → rare true conditional statements,

then p → r is true.

Ex 2

Law of transitivity(syllogism)

p →

q rq

→

p →

r

If it is Saturday, then Sylvia has a lot of free time.

If Sylvia has a lot of free time,

shopping.

then she will go

Conclusion: If it is Saturday, then Sylvia will go shopping.

If it does not rain, then the river will dry up. If the river dries up the boats cannot float.

Ex 3

Conclusion: If it does not rain, then the boats cannot float.

If it does not rain, then the river will dry up. It does not rain.

Ex 4

Conclusion: The river dries up.

Law of Logic: Transitivity

Law of Logic: Detachment

Do: 1

Conclusion:

Assignment:

Textbook Page 93, 45 – 48 All. And #51Handout – Laws of Detachment and Syllogism

If it is six pm, then the pizza shop is open. If the pizza shop is open, then Suzan will go buy a pizza.

Law of Logic:

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.