Question

17]If A,B,C are three sets such that
AnB-AnC and AUB=AUC then
O a) B=C
O b) A =C
c) AOB=
O d) A =B​

Answer 1

Answer:

Step-by-step explanation:

Given that

$A \cup B=A\cup C \ \\\\and \ A\cap B =A\cap C\\\\Or \ A+B-A\cup B =A+C-A\cup C\\\\But \ A \cup B=A\cup C \\\\So \ A+B -A \cup C =A+C -A \cup C\\\\A+B=A+C\\\\B=C\\\\Option(a) B=C \ is \ correct$