Answer
$x\ge7
$
Work Step by Step
$\bf{\text{Solution Outline:}}$
Use the properties of inequality to solve the given inequality, $
2x-5\ge9
.$
$\bf{\text{Solution Details:}}$
Using the properties of inequality, the given is equivalent to
\begin{array}{l}\require{cancel}
2x-5\ge9
\\\\
2x\ge9+5
\\\\
2x\ge14
\\\\
x\ge\dfrac{14}{2}
\\\\
x\ge7
.\end{array}