#### Answer

$(-\infty,4]$

#### Work Step by Step

$\bf{\text{Solution Outline:}}$
To solve the given inequality, $
-1.3x\ge-5.2
,$ 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\le\dfrac{-5.2}{-1.3}
\\\\
x\le4
.\end{array}
The red graph is the graph of the solution set.
In interval notation, the solution set is $
(-\infty,4]
.$