Final answer:
The classification of an expression as a rational equation, function, or inequality depends on the presence of rational expressions and the use of equal or inequality signs. A rational equation equates two rational expressions, a rational function maps inputs to outputs with rational expressions, and a rational inequality compares a rational expression using inequality symbols.
Step-by-step explanation:
Determining whether a given expression is a rational equation, rational function, or rational inequality involves understanding the definition of each term. A rational equation is an equation that includes a rational expression (a ratio of two polynomials).
A rational function is a function that can be expressed as the ratio of two polynomials, where the denominator is not zero. A rational inequality is similar to a rational equation, but instead of an equals sign, there is an inequality symbol (>, <, <=, >=).
To classify an expression, you should look at its form and the context in which it is used: If it equates two rational expressions, it's a rational equation.
If it maps inputs to outputs using rational expressions, it's a rational function. And if it compares a rational expression to another value using inequality symbols, it's a rational inequality. If none of these apply, then it could fall into the category of 'none of the above'.