Answer
Set notation: $\quad \{x|x\geq-1\}$
Interval notation: $\quad[-1,\infty )$.
The graph is shown below.
Work Step by Step
Subtract $1$ from both sides.
$1-2x-1\leq 3-1 $
Simplify.
$-2x\leq 2 $
Divide both sides by $-2$ and change the direction of the inequality.
$\dfrac{-2x}{-2}\geq \dfrac{2}{-2} $
Simplify.
$x\geq -1 $
The solution set is $\{x|x\geq-1\}$
or interval notation is $[-1,\infty )$.
To graph, use an open bracket at $-1$, then shade the region to its right.
