Prove that the following set is open subset of R with respect to the usual metric....

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Prove that the following set is open subset of R with respect to the usual metric. (-10, ∞) Prove that for every x R, the set {x} is a closed in R with respect to the usual metric. Prove that the following set is open subset of R with respect to the usual metric. (-10, ∞) Prove that for every x R, the set {x} is a closed in R with respect to the usual metric.

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To prove that the set 10 is open in R with respect to the usual metric we need to show that for ever... View the full answer