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  • 13-03-2024
  • Mathematics
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Let f : [a, b] -> R and let B be the Borel σ-algebra on [a, b]. Prove that the following are equivalent: (i) {f < c} in B for all c in R; (ii) {f >= c} in B for all c in R; (iii) {f > c} in B for all c in R.

a) True
b) False

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