SOLUTION: Please how will I prove whether x is a real number or not in x^2 <2.

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Question 798432: Please how will I prove whether x is a real number or not in x^2 <2.
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

+x%5E2+%3C2..solve for x
+x+%3C+sqrt%282%29 => ++sqrt%282%29 is an irrational number
since the real numbers include all the rational numbers and all the irrational numbers, means x is real number