Lecture-8|Every superset of an Uncountable Set is uncountable|Statement and proof|Real Analysis

[@khushigoyal8700]

The super set of a countable set is: (a) countable (b) Uncountable (c) countable or uncountable (d) none of these ????

[@cama708]

Every subset of a countable set is not countable. Only every infinite subset of a countable set is countable. Example {1,2,3} is a subset of a countable set N. {1,2,3} is not countable

[@ima.pranjal]

Countable set is either finite or countably infinite. {1,2,3} is finite. Hence, countable.