Tag: proofs in mathematics

Questions Related to proofs in mathematics

Let p,q be statements. Negation of statement $p \leftrightarrow  ~ q$, is

  1. $~ q \rightarrow p$

  2. $ ~ p v q$

  3. $p \leftrightarrow q$

  4. $p \rightarrow q$


Correct Option: A
Explanation:
p q ~q $p \leftrightarrow ~q$ $~(p \leftrightarrow ~q)$ $~q \rightarrow p$ $~p v q$ $p \leftrightarrow q$ $p \rightarrow q$
T T F F T T T T T
T F T T F T F F F
F T T T F T T F T
F F F F T F T T T