Simplify the following expression. ¬[u ∨ (u ∧ r)] → ¬(r ∧ r)

Question

so far I got: ¬[¬u ∨ (u ∧ r)] V ¬(r ∧ r)

Answer 1

$$\neg[u\vee (u \wedge r)] \rightarrow \neg(r\wedge r)$$ $$\neg\neg[u\vee (u \wedge r)]\vee\neg r$$ $$u\vee\neg r$$ $$r \rightarrow u$$