Let S be a set consisting of all infinite. sequences of and 1. Using real numbers...

 

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Let S be a set consisting of all infinite. sequences of and 1. Using real numbers prove an idea similar to the one we used for that S is uncountable. 6-16 points) We know that the union of two countable sets is countable. If A is an uncountable set and B is a countable set, then determine if A\B is countable or uncountable. (justify your answer). Let S be a set consisting of all infinite. sequences of and 1. Using real numbers prove an idea similar to the one we used for that S is uncountable. 6-16 points) We know that the union of two countable sets is countable. If A is an uncountable set and B is a countable set, then determine if A\B is countable or uncountable. (justify your answer).