Answer
$[0.5,\infty)$
Work Step by Step
$\bf{\text{Solution Outline:}}$
To solve the given inequality, $
-2.5x\le-1.25
,$ 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 $\ge.$
$\bf{\text{Solution Details:}}$
Dividing both sides by a negative number (and consequently reversing the sign), the inequality above is equivalent to
\begin{array}{l}\require{cancel}
x\ge\dfrac{-1.25}{-2.5}
\\\\
x\ge0.5
.\end{array}
The red graph is the graph of the solution set.
In interval notation, the solution set is $
[0.5,\infty)
.$