The negation of the expression [q ( ( ,q) p )] is equivalent to

Question

The negation of the expression $$q \vee \left( {( \sim \,q) \wedge p} \right)$$ is equivalent to

Accepted Answer

$q \vee(\sim q \wedge p)$

$\Rightarrow(q \vee \sim q) \wedge(q \vee p)$

$\Rightarrow T \wedge(q \vee p)$

$\Rightarrow q \vee p$

Now,

$\sim(q \vee p)$

$=\sim q \wedge \sim p$

Solutions · 1