For any positive real number X , prove that there exits an irrational number Y such that 0<Y<X
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If x is irrational then y = x/2 is also an irrational number such that 0 < y < xIf x is rational then y = x/√2 is an irrational number such thatHence for any positive real number x there exists an irrational number y such that 0 < y < x.
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