If-Then Form
If you are a math student, then you are taking Geometry.
False, you could be taking Algebra
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"
All flags have green parts on them.
The American flag does not have green on it.
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."
If you are a student at MHS, then you are a Kentucky fan.
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."
All superheros have super powers.
False, Batman
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
An if-then statement has two parts, known as the ___ and the ___
The hypothesis and the conclusion
It is always sunny during the daytime.
False, It could rain during the day.
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