Question

2x + 5/2 ≥ 3/2x -2

Answer 1

So we have:
\[\begin{align}
2x+5&\geq\frac{3}{2}x-2\implies\\
\frac{1}{2}x+5&\geq-2\implies\\
\frac{1}{2}x&\geq-2-5=-7\implies\\
x&\geq-14
\end{align}\]

Answer 2

\[2 x+\frac{5}{2}\geq \frac{3 x}{2}-2 \]\[4 x+5\geq 3 x-4 \]\[x\geq -9 \]