Question

Logical equivalent of $p\to \left(p\vee q\right)$ is

• A. $\sim p\wedge \sim q$
• B. $\sim p\to \left(p\wedge q\right)$
• C. $q\to \left(p\to q\right)$
• D. $p\to \sim q$

Answer 1

Answer: (C)

Drawing truth table for all the options corresponding to the given statement:

From the truth table, we observe that $p\to \left(p\vee q\right)$ is logically equivalent to $q\to \left(p\to q\right)$ .