Answer
see graph
Work Step by Step
The graph of $
x=1
$ is the vertical line passing through $
(1,0)
.$ The graph of $
x\ge1
$ is the graph to the right of $
x=1
$ (RED graph).
Using a table of values, the graph of
\begin{array}{l}\require{cancel}
y=2x-1
,\end{array}
is determined (BLUE graph).
Using the testpoint, $
(0,0)
,$ then
\begin{array}{l}\require{cancel}
y\ge2x-1
\\
0\ge2(0)-1
\\
0\ge0-1
\\
0\ge-1
\text{ (TRUE)}
.\end{array}
Since the solution above ended with a $\text{
TRUE
}$ statement, then the testpoint is $\text{
INCLUDED
}$ in the area of the solution set.
A solid line is used for the symbols $\le$ and $\ge,$ while a dotted line is used for the symbols $\gt$ and $\lt.$
The solution set is the area common to both solutions (darkest shade).
