QUESTION 15Kindly answer correctly. Please show the necessary steps Which one of the following alternatives contain the correct Step 4 and Step 6 to complete theproof correctly?1. Step 4: iff (z = A or z = C) and (z = C' or z € B')Step 6: iff [(z = A and z = C') or (z = C and z = C')] or[(Z = A and Z = B') or (z = C and Z = B')]E2. Step 4: iff (z = A or z = C) and (z = C' and Z = B')Step 6: iff [(z € A or z = C') and (z = C or z = C')] and[(Z = A or z € B') and (z = C or z € B')]EE3. Step 4: iff (z = A or z = C) and z = (z = C' and z = B')Step 6: iff [(Z = A and z = C') or (z = C and z = C')] or[(Z = A and z = B') or (z = C and z € B')]EE4. Step 4: iff (z = A or z = C) and (z = C' or z = B')EEStep 6: iff [(z = A or z = C') and (z = C or z = C')] and[(Z = A or z = B') and (z = C or z = B')] Question 15We want to prove that for all A, B, C ≤ U,(AUC) - (CB) = (A − C) u [(A − B) u (C − B)] is an identity.Consider the following incomplete proof:ZE (AUC) - (CB)iff (z = A or z = C) and (z # (CB))iff (z € A or z = C) and (z # C or z # B)Step 4iff [(z € A or z = C) and (z = C')] or [(z = A or z = C) and (Z =EStep 6B')]iff [(z = A and z = C')] or [(z = A and z = B') or (z = C and z = B')]iff [(z = A - C)] or [(z = (A − B) or (z = C – B)]iff ZE (AC) U [(A - B)(C-B)]

Answered: Image /qna-images/answer/b8b9146e-1adf-4a03-9ab3-44ddd0de74c0.jpg

Question 15 We want to prove that for all A, B, C ≤ U, (AUC) - (CB) = (A − C) u [(A − B) u (C − B)] is an identity. Consider the following incomplete proof: ZE (AUC) - (CB) iff (z = A or z = C) and (z # (CB)) iff (z € A or z = C) and (z # C or z # B) Step 4 iff [(z € A or z = C) and (z = C')] or [(z = A or z = C) and (Z = E Step 6 B')] iff [(z = A and z = C')] or [(z = A and z = B') or (z = C and z = B')] iff [(z = A - C)] or [(z = (A − B) or (z = C – B)] iff ZE (AC) U [(A - B) (C-B)]

Question 15 We want to prove that for all A, B, C ≤ U, (AUC) - (CB) = (A − C) u [(A − B) u (C − B)] is an identity. Consider the following incomplete proof: ZE (AUC) - (CB) iff (z = A or z = C) and (z # (CB)) iff (z € A or z = C) and (z # C or z # B) Step 4 iff [(z € A or z = C) and (z = C')] or [(z = A or z = C) and (Z = E Step 6 B')] iff [(z = A and z = C')] or [(z = A and z = B') or (z = C and z = B')] iff [(z = A - C)] or [(z = (A − B) or (z = C – B)] iff ZE (AC) U [(A - B) (C-B)]

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter1: Fundamental Concepts Of Algebra

Section1.2: Exponents And Radicals

Problem 87E

See similar textbooks