(iv)$q\vee (p\vee(\sim q))$. This question is the fourth part of multipart q1

- If $p$ and $q$ are two simple statements $p\wedge$ is the conjunction of $p$ and $q$ and $p \vee q$ is the disjunction .Negation of a statement $p$ is denoted by $\sim p$
- Rules for conjunction :
- $A_3$: The statement $p\vee q$ has the truth value $F$ whenever both $p$ and $q$ have the truth value $F$.
- $A_4$: The statement $p\vee q$ has the truth value $T$ whenever either $p$ or $q$ or both have the truth value $T$
- A statement is tautology if the last column in the truth table is $T$ entirely.It is a contradiction if the last column is $F$ entirely.

The statement is a tautology

$\begin{matrix} p & q & \sim q & p \vee (\sim q) &q\vee (p\vee(\sim q)) \\ T&T & F& T &T \\ T & F & T &T &T \\ F& T & F & F &T \\ F& F & T & T & T \end{matrix}$

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