Question

$p:x$ is odd, $q:x^2$ is odd, then the symbolic form of "If $x$ is not odd then $x^2$ is odd", is

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

Answer 1

The correct option is C $(\sim p)\Rightarrow q$

The required statement is "not $p$ implies $q$".
The symbol $\sim$ stand for "not" and $\Rightarrow$ stand for "implies".
$\therefore (\sim p)\Rightarrow q$