1.(i) Show that the statement
p: “If is a real number such that , then is 0” is true by
(i) direct method,
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”
Direct Method: By assuming that p is true, prove that q must be true.
p is true:There exists a real number x such that
Hence, x = 0
Therefore q is true.
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