Answer
no solution
Work Step by Step
Solving the inequalities separately, then
\begin{array}{l}\require{cancel}
2x-1\ge3
\\\\
2x\ge3+1
\\\\
2x\ge4
\\\\
x\ge\dfrac{4}{2}
\\\\
x\ge2
,\\\\\text{AND}\\\\
-x\ge2
\\\\
x\le-2
.\end{array}
There are no common values between $x\ge2$ and $x\le-2$. Hence, there is no solution.