In order to prove the statement “p if and only if q” we need to show:
If p is false, then q is false.
If p is false, then q is true
If p is true, then q is true
If p is true, then q is false
In order to prove the statement “p if and only if q” we need to show “If p is true, then q is true”.
'If P(n) is a statement about natural numbers, mathematical induction may be used to prove P(n) only if P(1) is true.' State true or false.