SOLUTION: How can I solve this nonlinear inequality? {{{z/(z-5) >= 2z}}} Thank you very much!

Question 426014: How can I solve this nonlinear inequality?

Thank you very much!

Answer by Gogonati(855) (Show Source): You can put this solution on YOUR website!
Assume z different from 5. Multiply both sides of inequality by (z-5)

The roots of this quadratic equation are {0,11/2 }. As we know in the closed interval [0,11/2] the equation has the opposite sign of the coefficient
beside
.
Since this coefficient is positive the solution of our inequality is the closed interval: [0,11/2].

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