The ground state of a certain system with energy ϵ0 is subjected to a perturbation V, yielding a first-order correction ϵ1. If Eis the true ground-state energy of the perturbed system, the inequality that always holds is

1
ϵ1 ≥ 0
2
ϵ0 ≥ E0
3
ϵ0 + ϵ1 ≤ E0
4
ϵ0 + ϵ1 ≥ E0

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