Answer
Set notation:$\quad\{x|x\geq2\}$
Interval notation:$\quad[2,\infty )$.
The graph is shown below.
Work Step by Step
Add $1-x$ to both sides.
$3x-1+1-x\geq 3+x+1-x $
Simplify.
$2x\geq 4 $
Divide both sides by $2$.
$\dfrac{2x}{2}\geq \dfrac{4}{2} $
Simplify.
$x\geq 2 $
The solution set is $\{x|x\geq2\}$
or interval notation is $[2,\infty )$.
To graph, use an open bracket at $2$ then shade the region to the right.
