Question: Let w E R Q such that w > 0 i.e. w is a positive irrational number. Define A = {m + nw ER|

$Let w E R \\ Q such that w > 0$

Let w E R \\ Q such that w > 0 i.e. w is a positive irrational number. Define A = {m + nw ER| m + nw > 0 and m, n c Z} (a) Prove that if x, y E A and x > y, then x - y E A. (b) Prove that infA exists and infA 2 0

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