The only letter not found in the names of the 50 United States of America.
What is Q?
"If you get back late, then Mom will be mad"
q V p
What is "Mom will be mad or you get back late."
Counterexample for "If an integer is odd and it is between 10 and 20, then it must be prime."
What is 15?
Converse of If it rains, then I stay home.
What is "If I stay home, then it rains."?
All whibbets are jonnies. All jonnies are toomies.
What is "all whibbets are tommies"?
It occurs once in every minute, twice in every millenium, and never in a second.
What is the letter "M" or "I"?
"If you get back late, then Mom will be mad"
p <---> q
What is "You get back late if and only if Mom will be mad"?
It is logically equivalent to the inverse.
What is the converse?
Inverse of If it rains, then I stay home.
What is "If it does not rain, then I do not stay home."?
If our team scores 63 points, then we get a steak dinner. Our team had pizza for dinner after today's game.
What is "our team did not score 63 points"?
The place where yesterday comes after tomorrow.
What is a dictionary?
"If you pass the geometry quiz then you will get to celebrate." ~qVp
What is "You will not get to celebrate or you will pass the geometry quiz?"
Both of these statements must be true to have a biconditional statement.
What is the conditional and the converse?
Contrapositive of "If it does not rain, then I will not stay home."
What is "If I stay home, then it rains."?
If you give a mouse a cookie, he's gonna want some milk. If a mouse gets some milk, he's gonna want to take a nap. If a mouse takes a nap, he's gonna want a blanket. If a mouse gets a blanket, he's gonna need a pillow. Gilbert is a mouse. Molly gave Gilbert a cookie.
What is "Gilbert needs a pillow"?
The more of these you take, the more you leave behind.
What are footsteps?
"If Lambert wins, then we will have another pep rally."
~p ^ ~ q
What is "Lambert loses and we do not have another pep rally"?
"My dog, Max, goes to the window every day at 2pm to bark at the mailman."
This is the type of reasoning that Max is displaying.
What is "inductive reasoning"?
q ---> p
What is the Converse?
The type of reasoning that Mrs. Reynolds used when she drew the conclusion that most of her students studied hard after she saw their grades showed a huge increase in this unit from the previous unit.
What is inductive reasoning?
The letter that comes next...
OTTFFSS
What is E?
"If UGA wins a third national championship, then Mr. Lewallen will bring chocolate chip cookies."
The symbols for "If Mr. Lewallen does not bring chocolate chip cookies, then UGA did not win a third national championship."
What is ~q --> ~p?
The counterexample for "If a shape has four sides that are congruent, then it must be a square."
What is a rhombus?
It is logically equivalent to the conditional.
What is the contrapositive?
p -> q
~q
Therefore......
What is "~p"?