Answer
$\text{Set Builder Notation: }
\left\{ x|x\ge-\dfrac{3}{2} \right\}
\\\text{Interval Notation: }
\left[ -\dfrac{3}{2},\infty \right)$
Work Step by Step
Using the properties of inequality, then
\begin{array}{l}\require{cancel}
2x\ge-3
\\\\
x\ge-\dfrac{3}{2}
.\end{array}
Hence, the solution set is
\begin{array}{l}\require{cancel}
\text{Set Builder Notation: }
\left\{ x|x\ge-\dfrac{3}{2} \right\}
\\\text{Interval Notation: }
\left[ -\dfrac{3}{2},\infty \right)
.\end{array}
In the graph, a hollowed dot is used for $\lt$ or $\gt.$ A solid dot is used for $\le$ or $\ge.$
