Determine whether the given expressions are logically equivalent. In each case, either use the logical equivalences seen in the class or construct a truth table. Conclude with a sentence justifying your answer. Your sentence should show that you understand the meaning of logical equivalence. Finally, make sure you follow the precedence rules! Write down precedence rules that you use

(a) p ∨ (p ∧ q) ∧ p

(b) p ∧ (p ∨ q) ∧ p

(c) p ∧ (~p ∨ q) ∧ p ∧ q

(d) (p ∧ q) ∨ (r ∧ p ∧ (q ∨ r))