# 6.(ii)    Check the validity of the statements given below by the method given against it.   (ii) q: If $n$ is a real number with $n < 3$, then $n^2 < 9$ (by contradiction method).

H Harsh Kankaria

Assume that the given statement q is false.

The statement becomes: If n is a real number with n > 3, then $n^2 < 9$.

Therefore n>3 and n is a real number.

$\dpi{100} \\ \therefore n^2 > 3^2 \\ \implies n^2 > 9$