If you have a linear inequality like $x < 7$ where $x$ belongs to rational numbers. Then on graphing it on a number line, a unfilled circle is used to denote that $7$ is not included.
But that means that $x = 6.99999\dots$ at max but $7$ is not included.
$0.99999\dots = 1$ (sources - wikipedia) and therefore, $6.99999\dots = 7$.
So although you are not including $7$ in the solution set of inequality, $7$ is still a solution.
How is that possible? Am I going wrong somewhere?