the solution set
An algebraic equation or inequality can have a solution, an algebraic expression cannot. If substituting a number in place of a variable results in the equation or inequality being a true statement, then that number is a solution of the equation or inequality.
If one of the denominators becomes equal to zero when checking a solution for a rational expression, it means that the expression is undefined at that point. This is because division by zero is not defined in mathematics. Therefore, the solution you found is not valid for that rational expression.
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A true solution doesn't contain any insoluble matter and has only one phase.
undefined means you can not do the operation (5/0 is undefined) no solution refers to an equation not having an answer. a solution is a number which you can plug into the variable of an equation and get a true statement. So having no solution means there is no number which you can plug in and get a true statement. As a fraction is not an equation, but an expression it is not right to say that 5/0 has no solution. There is no variable in 5/0, nothing to plug into to get a true or false statement.
The solution set is the answers that make an equation true. So I would call it the solution.
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x - 9 is an expression, neither an equation not an inequality. An expression cannot have a solution.