Q. Construct the truth tables for (p & q here are not above statement) a) p V ~q b) ~p V ~q c) q -->p d) ~(p-->q)-->r

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$\begin{matrix} P & q&\tilde q &pv\tilde q\\ T&T&F&T\\ T&F&T&T\\ F&T&F&F\\ F&F&T&T\\ \end{matrix}\\ \begin{matrix} P & \tilde p& q&\tilde q &\tilde pv\tilde q\\ T&F&T&F&F\\ T&F&F&T&T\\ F&T&T&F&T\\ F&T&F&T&T\\ \end{matrix}\\ \begin{matrix} P & q&q\implies p\\ T&T&T\\ T&F&T\\ F&T&F\\ F&F&T\\ \end{matrix}\\ \begin{matrix} P & q&r&p\implies q&\tilde( p \implies q)&\tilde(p\implies q)\implies r\\ T&T&T&T&F&T\\ T&T&F&T&F&T\\ T&F&T&F&T&T\\ T&F&F&F&T&F\\ F&T&T&T&F&T\\ F&T&F&T&F&T\\ F&F&T&T&F&T\\ F&F&F&T&F&T\\ \end{matrix}\\$ $P T T F F q T F T F \tilde{q} F T F T p v \tilde{q} T T F T P T T F F \tilde{p} F F T T q T F T F \tilde{q} F T F T \tilde{p} v \tilde{q} F T T T P T T F F q T F T F q ⟹ p T T F T P T T T T F F F F q T T F F T T F F r T F T F T F T F p ⟹ q T T F F T T T T \tilde{(} p ⟹ q) F F T T F F F F \tilde{(} p ⟹ q) ⟹ r T T T F T T T T$

Q. Construct the truth tables for (p & q here are not above statement) a) p V ~q b) ~p V ~q c) q -->p d) ~(p-->q)-->r

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Question ID: mtid-5-stid-8-sqid-3461-qpid-2160