If $1 - \alpha$ is of order $\mathcal{O}(\delta)$ with $\alpha\in(0,1)$, what order is $\alpha$?

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If $1 - \alpha$ is of order $\mathcal{O}(\delta)$, with $\alpha\in(0, 1)$ what can I say about $\alpha$? Is it of order $\mathcal{O}(\delta)$ too?