Mix Vocab
reasoning that use a number of examples to arrive at a conclusion
What is inductive reasoning?
two or more statements joined together
What is a compound statement? (DAILY DOUBLE)
2, 22, 222, _____________
What is 2222?
Write in if-then form, A five-sided polygon is a pentagon.
If a polygon has five sides, then it is a pentagon.
concluding statement reached using inductive reasoning
What is a conjecture?
words used to join two or more statements together
What is and and or?
8:30 am, 9:10 am, 9:50 am, _____
What is 10:30 am?
three related conditional statements
What are inverse, converse and contrapositive?
statement that can be written in if-then form
What is a conditional statement? (DAILY DOUBLE)
followed after if
What is hypothesis?
1, 1/2, 1/4, 1/16, ____
What is 1/32?
converse for, If an animal is a bat, then it can fly and determine truth value
What is, if an animal can fly, it is a bat. F - birds can fly and are not bats
opposite of an example, made to show a statement is false
What is a counterexample?
negating and switching hypothesis and conclusion
What is contrapositive?
make a conjecture for the product of two odd numbers
What is an odd answer?
inverse - If an animal is a bat, then it can fly. Truth value
What is, if the animal is not a bat, then it can not fly. F - birds are not bats that can fly
true or false can be made for a statement
What is truth value?
statement has opposite meaning, as well as opposite truth value
What is negating?
If n is a prime number, then n + 1 is not prime. Determine truth value (T/F - give counterex.)
False, if n = 2, 2 + 1 = 3
Contrapositve - If a animal is a bat, then it can fly. Truth Value
What is, if the animal cannot fly then it is not a bat.
T - given conditional is true, animal can not be a bat