Can one write big-O notation with inequality?

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While trying to write down a compact form of the following complexity expression

$ f = O(g) \space \space \space and \space \space f = \Omega(h)$

I was wondering if one can write the complexity approximation with inequalities as follows:

$ \Omega(h) \leqslant f \leqslant O(g)$

I have never seen these with inequalities thus I am not sure if this is not weird or incorrect.