Question

If $p:x$ is odd ; $q:x^2$ is odd, then "$x$ is odd and $x^2$ is not odd" is represented as

• A. $p\vee q$
• B. $p\wedge q$
• C. $(\sim p)\vee q$
• D. $p\wedge (\sim q)$

Answer 1

The correct option is D $p\wedge (\sim q)$

"$x$ is odd and $x^2$ is not odd", this sentence is conjunction of $p$ and negation of $q$.
$\therefore$ It is represented as $p\wedge (\sim q)$