# Countable or uncountable numbers

Given a set of all real numbers containing 4s and 5s in their decimal

representation. Determine the given set is countable or uncountable.

Example : numbers in this set: 4.4455544, 455.55554444

You don't need to prove this, but rather explain it to me why.

I understand why from 0-1 is uncountable or from 1-2 etc using a proof by contradiction.

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Given a set of real numbers containing 4s and 5s in their decimals, the expert determines the given set for countable or uncountable. A Complete, Neat and Step-by-step Solution is provided in the attached file.

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