Follow the Law
Finish the logic statements using the law of syllogism:
1) If it rains, then the game will be cancelled.
2) If the game is canceled, then I will go to the mall.
3) ?
What is "If it rains, then I will go to the mall"?
An example that opposes or contradicts a statement
What is a counterexample?
State the hypothesis of the following:
"If today is Friday, then tomorrow is Saturday."
What is "if today is friday"?
What is the symbolic notation of a conditional statement?
What is "If p, then q" p->q?
Finish the logic statements using the law of detachment:
1) If it rains, then the game will be cancelled.
2) It rains.
3) ?
What is "The game is cancelled"?
An if-then statement
What is a conditional statement?
State the conclusion of the following sentence:
"If pigs can fly, two plus five is seven."
What is "two plus five is seven"?
Given
p: We will not swim.
q: We will play basketball.
How would you write the symbolic notation of: "If we play basketball, then we will swim"
What is q->~p?
Finish the following logic statement using the law of contraposition:
1) If we go trick or treating, then we will get candy.
2) We will not get candy.
3)?
What is "We did not go trick or treating"?
An if-and-only if statement
What is a biconditional statement?
Make a conditional statement from the following statement:
"All whole numbers are integers."
What is "If a number is a whole number, it is an integer"?
Given
p: It is snowing outside.
q: There is no school.
Translate ~p -> ~q.
What is if it is not snowing outside, then there is school?
Finish the following logic statement using the law of syllogism:
1) If you are in Miss Moore's class, then she is your favorite teacher.
2) If Miss Moore is you favorite teacher, you will get candy.
3) ?
What is "If you are in Miss Moore's class, then you will get candy."
A statement that results from switching the hypothesis and the conclusion
What is the converse?
State the converse:
"If Melissa comes to class, then she passed the class."
What is "If Melissa passed the class, then she comes to class"?
How many elements are in Set B or Set C
What are 27 elements?
Finish the logic statement using the law of detachment:
1) If you do your homework, you will get a 100.
2) You do your homework.
3) ?
What is "You get a 100"?
A statement that results from switching and negating the hypothesis and conclusion
What is a contrapositive statement?
The contrapositive statement: "If Carl does not go to geometry, then he will fail the class"
What is the conditional statement?
What is "If Carl passes the class, then he goes to geometry"?