Question -
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.
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 and q is false
Hence, p: “ if q, then r” is a true statement.