Final answer:
In solving an inequality, if the variable is eliminated resulting in a false statement, the solution set is empty, meaning there are no solutions.
Step-by-step explanation:
When solving an inequality, if all variables are eliminated and the result is a false statement like 7 < -2, this indicates that the original inequality has no solution. In mathematical terms, the solution set is empty. During the solving process, it is crucial to eliminate terms wherever possible to simplify the algebra, and to check the final answer to examine its reasonableness. If the final statement doesn't make logical sense (such as one number being less than another when it is actually greater), this means there are no possible values of the variable that would make the original inequality true.