Answer to Question #136815 in Discrete Mathematics for Promise Omiponle

Question

Show that if A and B are sets where A⊆B and A is uncountable, then B is uncountable.

Answer 1

if A⊆B, then |A|$\leq$|B|, and so if A is uncountable, then B is uncountable(the cardinality of B is same or more).