Ask Questions, Get Answers

Want to ask us a question? Click here
Browse Questions
0 votes

$p\leftrightarrow q$ is equivalent to

\[\begin{array}{1 1}(1)p\to q&(2)q\to p\\(3)(p\to q)\vee(q\to p)&(4)(p\to q)\wedge (q\to p)\end{array}\]

Can you answer this question?

1 Answer

0 votes
Truth table for $ p \leftrightarrow q$
Truth table for $p \to q$
Truth table for $ q \to p$
Truth table for $(p \to q) \vee (q \to p)$
Truth table for $(p \to q) \wedge (q \to p)$
The last column of the truth table for $p \leftrightarrow q$ and $(p \to q) \wedge (q \to p)$ are identical.
Statement $p\leftrightarrow q$ and $(p\to q)\wedge (q\to p)$ are equivalent
Hence 4 is the correct answer.
answered May 22, 2014 by meena.p

Related questions

Ask Question
student study plans
JEE MAIN, CBSE, AIPMT Mobile and Tablet App
The ultimate mobile app to help you crack your examinations
Get the Android App