Let $\mathrm{p}, \mathrm{q}$ and r be the statements p : X is an equilateral triangle $\mathrm{q}:…
Let $\mathrm{p}, \mathrm{q}$ and r be the statements
p : X is an equilateral triangle
$\mathrm{q}: \mathrm{X}$ is isosceles triangle
$r: q \vee \sim p$,
then the equivalent statement of $r$ is
If X is not an equilateral triangle, then X is not an isosceles triangle
X is neither isosceles nor equilateral triangle
X is isosceles but not an equilateral triangle
If X is not an isosceles triangle, then X is not an equilateral triangle.
Solution
$\begin{aligned}
& q \vee \sim p \\
& \equiv \sim q \rightarrow \sim p \quad \ldots[\because p \rightarrow q \equiv \sim p \vee q]
\end{aligned}$
$\therefore \quad$ Option (D) is correct.