Thank you for all your help! Please take your time!

3. ( 10 points) Justify each step in the proof sequence below B[B(AC)]C 1. A : hypothesis 2. B : 3. B(AC) : Solution: 4. AC : 5. (A)C : 6. AC : 7. C : 4. (20 points) Translate the following argument in propositions, then prove the argument: If loan rates drop, the real estate market will improve. Either the federal discount rate will drop or the real estate market will not improve. Loan rates will drop. Therefore the federal discount rate will drop. Provide a proof sequence to establish the validity of this argument. Let L be Loan rates will drop. Let R be the real estate market will improve, Let F be the federal discount rate will drop. 3. ( 10 points) Justify each step in the proof sequence below B[B(AC)]C 1. A : hypothesis 2. B : 3. B(AC) : Solution: 4. AC : 5. (A)C : 6. AC : 7. C : 4. (20 points) Translate the following argument in propositions, then prove the argument: If loan rates drop, the real estate market will improve. Either the federal discount rate will drop or the real estate market will not improve. Loan rates will drop. Therefore the federal discount rate will drop. Provide a proof sequence to establish the validity of this argument. Let L be Loan rates will drop. Let R be the real estate market will improve, Let F be the federal discount rate will drop