To determine: A superset of uncountable set is uncountable. A is a superset of B if B\subseteq A

sagnuhh

sagnuhh

Answered question

2021-08-06

To determine: A superset of uncountable set is uncountable. A is a superset of B if BA

Answer & Explanation

yunitsiL

yunitsiL

Skilled2021-08-07Added 108 answers

Step 1
Consider A is a superset of B and A is uncountable:
The objective to show that B is uncountable.
Assume B is countable.
Step 2
Since using the concept that every subset of countable set is countable.
So, A is countable.
Which is contradiction, as given A is uncountable.
superset of uncountable set is uncountable.
Hence proved.

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