whats the difference between solving an inequality by algebriac vs graphical
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In algebraic terms, the solution is the answer to equation.
No. That is because 2 - 8x is an algebraic expression, not an equation. And since it is not an equation, it does not have a solution.
If I understand the question correctly, it is when the algebraic equation (or inequality) is true.
It is the solution or root of the equation.
The graphical method is often approximate but can be applied to any function. If done on a computer, the region surrounding the solution can be enlarged to obtain more accurate estimates. A numerical method will give an exact result is an analytical solution is possible. If not, the solution will depend on the numerical method used and, sometimes, the starting "guesstimate".