Answer
$\left[ 13,\infty \right)$
Work Step by Step
$\bf{\text{Solution Outline:}}$
Use the concepts of inequalities to translate the given description,
\begin{array}{l}\require{cancel}\text{
if $8$ is subtracted from a number, then the result is at least 5
,}\end{array}
into symbols. Then solve using the properties of inequality. Express the solution set in interval notation.
$\bf{\text{Solution Details:}}$
In symbols, the given description translates to
\begin{array}{l}\require{cancel}
x-8\ge5
.\end{array}
Using the properties of inequality, the inequality above is equivalent to
\begin{array}{l}\require{cancel}
x\ge5+8
\\\\
x\ge13
.\end{array}
In interval notation, the solution set is $
\left[ 13,\infty \right)
.$
