Home / Questions / Given a real number a, we define the half-infinite intervals
Given a real number a, we define the half-infinite intervals [a,∞) and(a,∞) by
[a, ∞) = {x ∈ R | x ≥ a},(a,∞) = {x ∈ R | x > a}.
Prove that following.
(1) [a,∞) ⊂ (b, ∞) if and only if a > b.
(2) (a, ∞) ⊂ [b, ∞) if and only if a ≥ b.1
Nov 23 2017 Read more Less More
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