Question

(i)Prove that if ∀a∈A ∃b∈B s.t. a≤b, then supA≤supB. (ii)Prove that if ∀a∈A ∃b∈B s.t. a≥b,...

(i)Prove that if
∀a∈A ∃b∈B s.t. a≤b,
then supA≤supB.

(ii)Prove that if
∀a∈A ∃b∈B s.t. a≥b,
then infB≤infA

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