What does it mean?
An example that opposes or contradicts a statement
What is a counterexample?
A "p" represents this part of a conditional statement
What is the hypothesis?
State the hypothesis of the following:
"If today is Friday, then tomorrow is Saturday."
What is "today is Friday"?
That which has no part
a point
An if-then statement
What is a conditional statement?
A "q" represents this part of a conditional statement
What is the conclusion?
State the negation of the following :
"I am cold."
What is "I am not cold"?
that which has length and breadth only
a surface
An if-and-only if statement
What is a biconditional statement?
Given p implies q, this related conditional is written as
q --> p
What is the converse?
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"?
A plane figure contained by one line such that all the straight lines falling upon it from one point among those lying within the figure are equal to one another
a circle
A statement that results from switching the hypothesis and the conclusion
What is the converse?
Given p implies q, this related conditional is written as
~p -> ~q
What is the inverse?
State the converse:
"If Melissa came to class every day, then she passed the class."
What is "If Melissa passed the class, then she came to class every day"?
Complete the statement:
That all right...
angles are equal to one another
A statement that results from switching and negating the hypothesis and conclusion
What is a contrapositive statement?
p iff q
is an example of this type of statement.
What is a bi-conditional statement?
Given the contrapositive statement: "If Carl does not go to Geometry every day, then he is not passing the class"
What is the original conditional statement?
What is "If Carl is passing the class, then he is going to Geometry every day"?
Things which are equal to...
the same thing are also equal to one another