If you need a precise and accurate solution, a table might be more suitable. It allows you to evaluate the rational function at specific values and obtain exact results.
If you want a visual representation of the solution and a better understanding of the behavior of the rational function, a graph is more effective. Graphs provide a clear overview of where the function is positive or negative.
For some inequalities, a table may be more efficient, especially if you only need to evaluate the function at a few critical points to determine the sign changes. Graphing might be time-consuming for simple cases.
The availability of tools and technology can influence your choice. Graphing software or calculators can quickly generate graphs, making the graphical approach more convenient. On the other hand, if you're working without technology, a table might be more practical.