Show that the following statement is …
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Gaurav Seth 6 years, 10 months ago
The component statements of given statement are:
is an odd integer.
q : x is an integer and x2 is even
r : x is an even integer.
In method of contrapositive,
We assume that ~r is true and we have to prove that ~q is also true.
Now, ~r is true,
Therefore, x is not an even integer or x is an odd integer.
or x = 2n + 1 for some integer n.
or
or
or
or
or q is false.
or ~q is true.
Thus,
Hence, the given statement p is true.
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