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In: Advanced Math

For each of the following, subsets of R decide whether or not the set has an...

For each of the following, subsets of R decide whether or not the set has an infimum and/or a supremum. If they exist, write down the infimum and supremum, and say whether it is an element of the set. (a) [3,7)

(b) {x ∈ Q : 1 ≤ x < 5}

(c) {1, 2, 3, . . . }

(d) {. . . , 1/4, 1/2, 1, 2, 4, . . . }

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