Just need final answer, no need workings

For all sets A, B, and C, which of the following statements are true? 1. An(AUB) = A 2. AU(AB) = A 3. (A - B) n(C-B) = ANC-B Select one: a. Except (3), all are true O b. Only (1) is true O c. All are true O d. Only (2) is true What is the most accurate assessment of the following proof: Given: 1+ 4 + 7 + ... + (3k -2) = k(3k 1)/2 To prove: 1+ 4 + 7 + .... + (3k-2) + [3(k+1) -2] = (k + 1)(30k + 1) -1)/2 Proof: 1 +4 + 7 + ... + (3-2) + [3(k+1) -2] = (k+ 1)[3(k+1)-1)/2 [k(3k -1)]/2 + [3(k+1) -2] = {(k + 1)[3(k + 1) -1]}/2 [k(3k-1)}/2+3k + 1 = [(k+ 1)(3k + 2)]/2 3k^2-k+6k + 2 = 3^2 + 3k + 2k + 2 3k^2 + 5k + 2 = 3^2+5k + 2 A. A proper proof using Law of Syllogism B. A proper proof using both rule of Modus Ponens and Law of Syllogism C. An improper proof D. A proper proof using logical rules E. A proper proof using Mathematical Induction Select one: O a. B O b. E O c.D O d. A e. C O Let A= {B76, XR3, D54, XL5), B = {B76, D54} and C = {ES2, XL5). Verify the correctness of the following statements: 1. BE A 2. BCA 3. B-ACC 4. A-Bcc 5. A-B&C Select one: a. (1) and (4) are false, and (2), (3) and (5) are true Ob. Only (2) and (3) are true and all the remining are false O c. All are true O d. Only (1) is false and all the remining are true Which of the following statements are true? 1. 2 {1, 2, 3} 2. {2} {1, 2, 3} 3. 2 c{1,2,3) 4. {2} _{1, 2, 3} 5. {2} = {{1}, {2}} 6. {2} {{1}, {2}} Select one: a. Only (1), (4) and (5) are true O b. Only (1), (2), (4) and (6) are true C. Only (1), (4), (5) and (6) are true O d. Only (1), (4) and (6) are true e. All are true For all sets A, B, and C, which of the following statements are true? 1. An(B - A)= 2. BU(B - A)=B 3. AU(ANB)=B Select one: O a. Only (3) is true O b. Except (3), all are true c. Only (1) is true O d. Only (2) is true