please help with question 5 and 6 for my discrete mathematics for computer science

(a) Since today is not Thursday, it must be Friday. For it is either Thursday or Friday. (T,F) (b) If today is Thursday, then tomorrow is Friday. If tomorrow is Friday, then the day after tomorrow is Saturday. Consequently, if today is Thursday, then the day after tomorrow is Saturday. (T, F, S) (c) The party is on a weekend if and only if it is on either a Saturday or a Sunday. Therefore, the party is on a weekend, since it is on a Sunday. (S,U,W) 6. Select the Logical Equivalence or Rule of Inference that validates each of the arguments. (a) (BC)DE(BC)DE Resolution (Res.) Modus Ponens (M.P.) Conjunction (Conj.) Idempotence (Idem.) (b) (ST)((UV)(UW))(ST)(UV)(UW) Logical Absorption (L.A.) Modus Tollens (M.T.) Addition (Add.) Disjunctive Syllogism (D.S.) (c) (JK)(JK)(LM) Constructive Dilemm (C.D.) Simplification (Simp.) Hypothetical Syllogism (H.S.) Modus Tollens (M.T.)