Question: modern analysis 5. Let X be the interval [0, 2) C R. The restriction of the usual metric on R to X is a metric

modern analysis

5. Let X be the interval [0, 2) C R. The restriction of the usual metric on R to X is a metric on X. (a) Is the set [0, 1) open relative to X ? (b) Is the set [1, 2) closed relative to X? (c) Is the set [1, 2) compact relative to X

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