Law of Detachment
If a student gets an A on a final exam, then the student will pass the course. Amy got an A on her Music Exam.
Amy passed Music.
If you live in Grand Rapids, then you live in Michigan. If you live in Michigan, then you live in the USA.
lf you live in Grand Rapids, then you live in the USA.
If you smile, then you are happy. If you are happy, then you are nice. Joe smiles.
Joe is nice.
If a student wants to go to college, then the student must study hard. Ryan wants to go to CMU.
Ryan must study hard.
If you like tomatoes, then you like salsa. If you like salsa, then you like tacos.
If you like tomatoes, then you like tacos.
If you live in Dallas, then you live in Texas. If you live in Texas, then you live in the 28th state to enter the union.
Levi lives in Dallas.
Levi lives in the 28th state to enter the union.
If two lines are parallel, then they do not intersect. Line m is parallel to line n.
Lines m and n do not intersect.
If you like English class, then you like school. If you like reading, then you like English class.
If you like reading, then you like school.
If a mountain is the the highest in Alaska, then it is the highest in the USA. If an Alaskan mountain is over 20,300 feet, then it is the highest in Alaska.
Alaska's Mount McKinley is 20,320 feet.
Alaska's Mount McKinley is the highest in the USA.
If an angle is obtuse, then it is not acute.
Angle m is 89.9 degrees.
No conclusion. Angle m is not obtuse - does not fit hypothesis.
If my dad does not pay my brother's college tuition, then my brother may not graduate from CMU. If my brother climbs one more mountain without his helmet, then my dad will not pay his college tuition.
If my brother does not wear his helmet when he climbs, then he will not graduate from CMU.
If you ate breakfast, then you won't be hungry in 1st hour. If you aren't hungry in 1st hour, then you will do better on your test.
Carl had a big dinner the night before and only had orange juice before 1st hour.
No conclusion about Carl.
If n is prime and greater than two, then n squared is an odd number. 9.
9 squared is an odd number.
No conclusion. 9 is not a prime number.
If you go to Grand Valley State University, then you are a Laker. If you are a Laker, then you know GVSU's mascot is a sailor.
If you go to GVSU, then you know the mascot is a sailor.
If n is prime, then 2n is even. If 2n is even, then 2n-1 is odd. 7 is prime.
2(7)-1=14-1=13, ok!