Question

The logically equivalent proposition of $p\iff q$ is

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

Answer 1

The correct option is B $(p\Rightarrow q)\wedge (q\Rightarrow p)$

Thus $p\iff q$ is equal to $(p\Rightarrow q)\wedge (p\Rightarrow q)$.