If-Then Form
Acute angles are less than 90 degrees.
"If it is an acute angle, then it is less than 90 degrees."
Identify your p and q.
If you go to bed late, then it will be hard to get up early in the morning.
p: you go to bed late
q: it will be hard to get up early in the morning.
If a child is 5 years old, then they are in kindergarden.
"If a child is in kindergarden, then they are 5 years old"
If you like tennis, then you play on the tennis team.
"If you do not play on the tennis team, then you do not like tennis"
If x is odd, then 3x is odd.
"If x is not odd, then 3x is not odd"
Puppies are small.
"If it is a puppy, then it is small"
Identify your p and your q.
If you study for your quiz, then you will get an A.
p: you study for your quiz
q: you will get an A
If there is snow on the ground, flowers are not in bloom.
"If flowers are not in bloom, then there is snow on the ground."
If x is odd, then 2x is even.
"If 2x is not even, then x is not odd."
If you like hockey, then you will go to the hockey game.
"If you do not like hockey, then you will not go to the hockey game."
A line contains at least 2 points.
"If it is a line, then it contains at least 2 points."
Identify your p and your q.
If two angles form a linear pair, then they are supplementary.
p: two angles form a linear pair
q: they are supplementary
If 2 lines intersect, then they cross each other.
"If 2 lines cross each other, then they intersect."
If a point lies on 2 lines, then it is at the intersection.
"If a point is not at the intersection, then it does not lie on 2 lines."
If you visited the White House, then you've been to Washington D.C.
"If you have not visited the White House, then you have not been to Washington D.C."
2x is larger than x when x is positive.
"If x is positive, then 2x is larger than x." OR "If 2x is larger than x, then x is positive."
Identify your p and q.
If you hate the beach, then you hate the ocean.
p: you hate the beach
q: you hate the ocean
If it is snowing, then it is cold. Is the converse of this statement true or false, and why?
"If it is cold, then it is snowing." FALSE - it can be cold without snowing
If you like purple, then you love Barney.
"If you do not love Barney, then you do not like purple."
If you are 16, then you can legally drive. Is the inverse of this statement true or false, and why?
"If you are not 16, then you can not legally drive." FALSE - those older than 16 can also legally drive
Students that graduate college get a good job.
"If a student graduates college, then they will get a good job."
Identify your p and q.
If you give a mouse a cookie, then he will want a glass of milk.
p: you give a mouse a cookie
q: he will want a glass of milk
What is the mathematical notation for the converse? (Hint: The regular conditional is notated p --> q)
q --> p
What is the mathematical notation for the contrapositive? (Hint: A regular conditional is noted p --> q)
~q --> ~p
What is the mathematical notation for inverse? (Hint: The regular conditional is notated p --> q)
~p --> ~q