A. Prove and make an illustration on theorems 4-6. 4. If a/b and b/a then a = +b 5. If a/b and a > 0, b>0 then a ≤ b. 6. If a/b if and only if ma/mb, m = 0. B. Prove the following: 1. If a/c and a + b = c, then a/b. 2. ab if and only if ac bc, c# 0 3. If alb and alc, then a²bc.

I need answer for 7 and 8 question with correct options please asap

3. Use C.P. or I.P. or both to construct proofs for the following (= Unit 9 -plus the rules from Units 7 and 8) [0.75 mark each]. a. A (BVC), C = (E. F), ~ (F v B) /.. ~ A b. A (XY), B = (Dv~F), ~(Dv W), F = ~Y. (A. B) > ~ X c. A 7. T (E (BVC)), S = ~(Dv C), T (S. ~ B), ~ Av C (DVE) 1 [Extra credit, 1 mark] d. (C. (F v E)) v (C. ~ (F v E)), F~B, (AC) = ~ (X > E) /.. B > C

{1,2, a, b, Ø}. Denote S2 = S1 \ {Ø}. Then S2 n S, C S . Let Sj = Select one: True False Let Sj = {1, b, {c}} and S2 = {b, {c},3}. Then SI U S2 = {1,b, {c},3}. Select one: True False Let JA| = 10, |B| = 10, and A n B + Ø. Then |A U B| = 20. %3D %3D Select one: O True O False