Supremum calcualtion, how do I get the answer

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Find the supremum of G={x|(x^2+1)^−1>1/2} Could someone help me out with this calculation? Thanks. Appreciate. Options are:

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\begin{align*} (x^2+1)^{-1}&>1/2 \\ \iff x^2+1&<2 \\ \iff x^2 <1 \end{align*}