1.(iii) Show that the statement
p: “If is a real number such that , then is 0” is true by
(iii) method of contrapositive
If is a real number such that , then is 0 : (if p then q)
p: x is a real number such that .
q: x is 0.
In order to prove the statement “if p then q”
Contrapositive Method: By assuming that q is false, prove that p must be false.
q is false:
x.(Positive number) 0.(Positive number)
Therefore p is false.
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