Solution Found!
Can you conclude that A = B if A, B. and C arc sets such
Chapter 1, Problem 30E(choose chapter or problem)
QUESTION:
Can you conclude that A = B if A, B. and C arc sets such thata) A ? C = B ? C?________________b) A ? C = B ? C?________________c) A ? C = B ? C and A ? C = B ? C?
Questions & Answers
QUESTION:
Can you conclude that A = B if A, B. and C arc sets such thata) A ? C = B ? C?________________b) A ? C = B ? C?________________c) A ? C = B ? C and A ? C = B ? C?
ANSWER:Solution:Step 1:The objective of this question is to conclude that A = B, If A=BLet us consider number of sets A ={1,2,3} and B = { 3,4,5} and C = {1,2,3,4,5}So, here we have to determine that A and B.AC = {1,2,3}{1,2,3,4,5} = CAnd B = {3,4 ,5}{1,2,3,4,5} = CTherefore A=C = B, but ASo, the given statement is False.