Reasoning that uses examples, when you observe a pattern
two or more statements joined by and or or
compound statement
2, 22, 222, ______
2222
write in if-then form, "A five sided polygon is a pentagon."
a concluding statement
conjecture?
and and or?
8:30 am, 9:10 am, 9:50 am, ______
10:30 am
the three related conditional statements
inverse, converse and contrapositive
opposite of, false example
counterexample
a statement that has the opposite meaning, as well as an opposite truth value
negation
the product of two odd numbers
odd answer
Write converse and determine truth value, Bats are animals that can fly
If the animal can fly, then it is a bat. F - birds can fly
the truth values of a statement
either true or false
phrase immediately following if
hypothesis
1, 1/2, 1/4, 1/16 _____
1/32?
Write inverse and determine truth value, Bats are animals that can fly.
If the animal is not a bat, then it can not fly. F - birds can fly
statement that can be written in if - then- form
conditional statement
formed by switching and negating both the hypothesis and conclusion
contrapositive
If n is prime number, then n + 1 is not prime.
True or False (give counterexample)
False, if n = 2, 2 + 1 = 3 (3 is prime)
Write contrapositive and determine truth value - Bats are animals that can fly.
If the animal cannot fly, then it is not a bat. T given conditional is right, animal can't be a bat