Email
Chat with tutor
logo

Ask Questions, Get Answers

X
 
Answer
Comment
Share
Q)

$p\leftrightarrow q$ is equivalent to

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

1 Answer

Comment
A)
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.
Help Clay6 to be free
Clay6 needs your help to survive. We have roughly 7 lakh students visiting us monthly. We want to keep our services free and improve with prompt help and advanced solutions by adding more teachers and infrastructure.

A small donation from you will help us reach that goal faster. Talk to your parents, teachers and school and spread the word about clay6. You can pay online or send a cheque.

Thanks for your support.
Continue
Please choose your payment mode to continue
Home Ask Homework Questions
Your payment for is successful.
Continue
Clay6 tutors use Telegram* chat app to help students with their questions and doubts.
Do you have the Telegram chat app installed?
Already installed Install now
*Telegram is a chat app like WhatsApp / Facebook Messenger / Skype.
...