Answer
Yes, it makes sense.
Work Step by Step
Yes, we can check inequalities by substituting 0 for the variable. Because if 0 belongs to the solution set then we obtain a true statement otherwise we obtain a false statement. This can be seen in the following example.
For example:
Consider an inequality equation.
$2x+2\le 2$
Substitute x as 0 in the above equation.
$\begin{align}
& 2\left( 0 \right)+2\le 2 \\
& 0+2\le 2 \\
& 2\le 2
\end{align}$
Here, the above equation shows that on substituting x as 0 we obtain 2 in the left hand side as the solution which is not less than but equal to 2 in the right hand side. This shows that 0 belongs to the solution set. Because, we obtained a true statement.
Similarly, consider another inequality equation.
$2x+2\le 1$
Substitute x as 0 in the above equation.
$\begin{align}
& 2\left( 0 \right)+2\le 1 \\
& 0+2\le 1 \\
& 2\le 1
\end{align}$
Here, the above equation shows that on substituting x as 0 we obtain 2 in the left hand side as the solution which is greater than 1 in the right hand side. This shows that 0 does not belong to the solution set. Because, we obtained a false statement.
So, the upper two examples show that we can check inequalities by substituting 0 for the variable.
Thus, the given statement makes sense.
