#### Answer

$[10,\infty)$

#### Work Step by Step

$\bf{\text{Solution Outline:}}$
To solve the given inequality, $ x-3\ge7 ,$ use the properties of inequality.
For the interval notation, use a parenthesis for the symbols $\lt$ or $\gt.$ Use a bracket for the symbols $\le$ or $\ge.$
For graphing inequalities, use a hollowed dot for the symbols $\lt$ or $\gt.$ Use a solid dot for the symbols $\le$ or $\ge.$
$\bf{\text{Solution Details:}}$
Using the properties of inequality, the inequality above is equivalent to \begin{array}{l}\require{cancel} x\ge7+3 \\\\
x\ge10
.\end{array}
The red graph below is the graph of the solution set.
In interval notation, the solution set is $
[10,\infty)
.$