Tag: proofs in mathematics

Questions Related to proofs in mathematics

Multiple choice maths proofs in mathematics implications principle of mathematical induction different forms of theoretical statements

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. $p \rightarrow q$
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A Correct answer
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