solution needed for: Find the supremum of G={ x | x^2+1)^-1 > 1/2}

[allos]

Find the supremum of

[FONT=MathJax_Math-italic]G​

[FONT=MathJax_Main]=[/FONT][FONT=MathJax_Size3]{[/FONT][FONT=MathJax_Math-italic]x[/FONT][FONT=MathJax_Main]|x²[/FONT][FONT=MathJax_Main]+[/FONT][FONT=MathJax_Main]1[/FONT][FONT=MathJax_Main])^-1 [/FONT][FONT=MathJax_Main]> 1/2[/FONT][FONT=MathJax_Size3]}[/FONT]​

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[Deleted member 4993]

Find the supremum of

[FONT=MathJax_Math-italic]G​

[FONT=MathJax_Main]=[/FONT][FONT=MathJax_Size3]{[/FONT][FONT=MathJax_Math-italic]x[/FONT][FONT=MathJax_Main]|x²[/FONT][FONT=MathJax_Main]+[/FONT][FONT=MathJax_Main]1[/FONT][FONT=MathJax_Main])^-1 [/FONT][FONT=MathJax_Main]> 1/2[/FONT][FONT=MathJax_Size3]}[/FONT]​

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[pka]

Find the supremum of [FONT=MathJax_Math-italic]G[/FONT][FONT=MathJax_Main]=[/FONT][FONT=MathJax_Size3]{[/FONT][FONT=MathJax_Math-italic]x[/FONT][FONT=MathJax_Main]|x²[/FONT][FONT=MathJax_Main]+[/FONT][FONT=MathJax_Main]1[/FONT][FONT=MathJax_Main])^-1 [/FONT][FONT=MathJax_Main]> 1/2[/FONT][FONT=MathJax_Size3]}[/FONT]

Here is a huge hint.

 

[stapel]

Solution needed for:

Find the supremum of:

. . . . .\(\displaystyle G\, =\, \left\{\, x\, \vert\, (x^2\, +\, 1)^{-1}\, >\, \dfrac{1}{2}\, \right\}\)

Okay; you need a solution. What efforts have you made to obtain that solution (other than asking people online to do it for you)?