Answer
$[1,\infty)$
Work Step by Step
Using the properties of inequality, the given inequality, $
2x+2\le5x-1
$, is equivalent to
\begin{align*}\require{cancel}
2x-5x&\le-1-2
\\
-3x&\le-3
\\\\
\dfrac{\cancel{-3}x}{\cancel{-3}}&\ge\dfrac{-3}{-3}
&(\text{reverse the inequality})
\\\\
x&\ge1
.\end{align*}
Hence, in interval notation, the solution of the inequality, $
2x+2\le5x-1
$ is $
[1,\infty)
$.
