Answer :

Let us Assume that q and r be the statements given

q: x is an integer and x2 is odd.

r: x is an odd integer.

since the given statement can be written as :

p: if q, then r.

Let r be false . then,

x is not an odd integer, then

x is an even integer

x = (2n) for some integer n

x2 = 4n2

x2 is an even integer

Thus, q is False

Therefore, r is false q is false

Hence, p: “ if q, then r” is a true statement.

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