Determine whether the following statements are logically equivalent or not. Show your work to clearly indicate your answer. p→¬qand¬(p→q)

:Given the pair of statements: A →~Z and Z=[Av (A•~Z)] 20. Construct a complete (ordinary) truth table for relation between the above pair of statements 21. How are the statements A-Z and Z = [A V (A • ~Z)] related? Given the argument: ~Av (B = C) B⇒ ~A ~A B Therefore, A. ~C 22. Construct a complete (ordinary) truth table. 23. Test for validity

Hi just type the answer no need to explain

(a) Write the following statement in the symbolic form. Ensure that you explain the stepstaken.If the boss doesn't like me or thinks I am lazy then she will not give me a raise and I willhave to find another apartment.    (b) Determine if the following statements are logically equivalent. Ensure that you explainthe steps taken and the reason for your decision.(i) (¬a → b) ∧ (¬b ∨ (¬a∨ ¬b))(ii) ¬(a ↔ b)   c)Determine if the following statement is a tautology. Ensure that you explain the stepstaken and the reason for your decision.(p ⊕ q ⊕ r) ↔ ((p ∨ q ∨ r) ∧ ¬.(p ∧ r) ∨ (q ∧ r) ∨ (p ∧ q)))