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Prove that a finite cartesian product of countable sets is countable?
here is the proof: http://planetmath.org/encyclopedia/ProductOfAFiniteNumberOfCountableSetsIsCountable.html
Show that the union of two countable sets is countable?
CHECK THIS OUT http://www.mathstat.dal.ca/~hill/2112/assn7sol.pdf
Is the set of all irrational number countable?
No, the set of all irrational numbers is not countable. Countable sets are those that can be put into a one-to-one correspondence with the natural numbers (1, 2, 3, ...). The set of irrational numbers is uncountable because it has a higher cardinality than the set of natural numbers. This was proven by Georg Cantor using his diagonalization argument.
What is the cardinality of a union of two infinite sets?
The cardinality of finite sets are the number of elements included in them however, union of infinite sets can be different as it includes the matching of two different sets one by one and finding a solution by matching the same amount of elements in those sets.
What is a mathematical process in which sets are combined?
The union of two sets.The union of two sets.The union of two sets.The union of two sets.
