Browse Questions
Home  >>  AIMS  >>  Class11  >>  Math  >>  Sets

# Let A, B and C be three sets. If A $\in$ B and B $\subset$ C, is it true that A $\subset$ C? If not, give an example

No. Let A = {1}, B = {{1}, 2} and C = {{1}, 2, 3}. Here A $\in$ B as A = {1} and B $\subset$ C. But A $\not{\subset}$ C as 1 $\in$ A and 1 $\not{\in}$ C.