Question: justify the assertion about the set G = {x R : 0 < x < 1} is open in R = R 1 and

justify the assertion about the set G = {x ∈ R : 0 < x < 1} is open in R = R 1   and the set F = {x ∈ R : 0 ≤ x ≤ 1} is not open in R.

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