Solve the inequation 3^(x+2)gt(1/9)^(1//...

Solve the inequation `3^(x+2)gt(1/9)^(1//x)`.

Verified by Experts

We have `3^(x+2)ge(3^(-2))^(1//x)implies3^(x+2gt3^(-2//x)`

Here base `3gt1`
`impliesx+2gt-2/ximplies(x^(2)+2x+2)/xgt0`
implies((x+1)^(2)+1)/xgt0impliesxgt0`
`:.x epsilon(0,oo)`

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