#### Answer

$\text{a)
NOT a solution
}\\\text{b)
NOT a solution
}\\\text{c)
a solution
}$

#### Work Step by Step

$\bf{\text{Solution Outline:}}$
Use the position of the number on the number line to evaluate if it satisfies the given inequality, $
m\le-2
.$
$\bf{\text{Solution Details:}}$
The inequality $
m\le-2
$ is satisfied by all numbers that appear on/on the left of $-2$ in the number line.
a) In the number line, $
-1\dfrac{9}{10}
$ appears on the $\text{
right
}$ of $
-2
.$ Hence, it is $\text{
NOT a solution
.}$
b) In the number line, $
0
$ appears on the $\text{
right
}$ of $
-2
.$ Hence, it is $\text{
NOT a solution
.}$
C) In the number line, $
-2\dfrac{1}{3}
$ appears on the $\text{
left
}$ of $
-2
.$ Hence, it is $\text{
a solution
.}$
Therefore,
\begin{array}{l}\require{cancel}
\text{a)
NOT a solution
}\\\text{b)
NOT a solution
}\\\text{c)
a solution
}
.\end{array}