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set theory, show that set of real number is infinite

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set theory, show that set of real number is infinite

Sets that have the same size as the set of natural numbers are called countably infinite’. Examples include the set of even numbers and the set of rational numbers numbers that can be written as fractions.The set of real numbers (numbers that live on the number line) is the first example of a set that is larger than the set of natural numbers ...

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$Example 6 - State finite or infinite set: {x : x ∈ N and x^2 = 4}$

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Example 6 - State finite or infinite set: {x : x ∈ N and x^2 = 4}

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