Determine if the following are equivalent, by giving their truth tables: ¬(q⇒p) pV -q

Suppose P is false and that the statement (RS) → (PAQ) is true. Find, without using a truth table, the truth values of R and S. [ true. Show that (a v bc)(a Abc); but the converse is not

Determine which pairs of statements are equivalent.Note: You should be able to do this without a truth table.i. If I am happy, then the Giants won.ii. If the Giants win, then I am happy.iii. If the Giants lose, then I am unhappy.iv. If I am unhappy, then the Giants lose.Select all that apply:A. ii and ivB. i and ivC. iii and ivD. i and iiE. ii and iiiF. i and iii

Use truth tables to determine the validity of the following arguments.12. A ⊃ BB ⊃ [(C ⊃ ~ ~C) ⊃ D]∴ A ⊃ D

1. Using a truth table, prove De Morgan's laws as follows. ¬(pVq) = -p A ¬q & ¬(p^q) = -pV¬q

Determine if the following is a valid deduction rule: (РЛQ) — R ¬PV ¬Q ¬R