Question: 12. Without using truth tables, prove that ~( P O q ) = p 4 9. Use the fact that p O q = (PA

12. Without using truth tables, prove that ~( P O q ) = p 4 9. Use the fact that p O q = (PA ~ q) V (~p q).~ (PO q) EN ( PANq ) v ( ~png ) ~ ( PA ~ q ) A ~ ( ~ P 19) by De Morgan's Law E ~ PVq ( PV~q) by De Morgan's Law at this point you can change these into two implications = ( ~puq ) Ap ) V ( Nova ) nNy [ by distributive Law = ( ~pna ) v ( anp ) V (upang ) V (an - q ) by Distributive T Law E how did you go from this to the conclusion? I don't follow. you would need to give more justification = P q [Proved Aw

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