Question

The statement$~(p\to q)$ is equivalent to

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

Answer 1

The correct option is A

$p\wedge (~q)$

Explanation for the correct option:

Given statement, $~(p\to q)$

The negation of a conditional statement can be written in the form of conjunction.

So, the logical equivalency$~(p\to q)\equiv p\wedge (~q)$ exhibits that the negation of a conditional statement is not another conditional statement.

Hence, option (A), $p\wedge (~q)$ is the correct answer.