1.(ii) Show that the statement
p: “If is a real number such that , then is 0” is true by
(ii) method of contradiction
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”
Contradiction: By assuming that p is true and q is false.
p is true: There exists a real number x such that
q is false:
Hence, x = 0
But we assumed . This contradicts our assumption.
Therefore q is true.
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