Proof

Question 1

examples/counterexamples as proof?

Answer 1

not enough to prove always true
can help disprove

Question 2

structure of a general proof question

Answer 2

define
let n = 2a such that n is even
let n = 2b + 1 such that n is odd
algebra/logic
manipulate to match the answer
take out factors to show divisibility
conclusion
true when n is even and when n is odd
therefore [copy question statement]
‘proved’

Question 3

proof by exhaustion

Answer 3

test for all values of x within given range
conclude