Questions: Simplify m ∧ (¬ n ∨ n) to m

Solution Steps

We are given the expression \(m \wedge (\neg n \vee n)\). Notice that \(\neg n \vee n\) matches the complement law, which states that \(a \vee \neg a = T\). Therefore, we can replace \(\neg n \vee n\) with \(T\). So, the expression becomes \(m \wedge T\).

Now we have \(m \wedge T\). This matches the identity law, which states that \(a \wedge T = a\). In our case, 'a' is 'm'. So, replacing \(m \wedge T\) with \(m\), we get our simplified expression.

Final Answer