A non-example of an equation with infinite solutions is one that has either no solution or only one solution. For instance, the equation 2x + 3 = 2x – 5 has no solution because simplifying it leads to a contradiction (3 ≠-5).
Similarly, an equation like x + 2 = 5 has only one solution, x = 3, since solving it results in a specific value. Additionally, a non-equation refers to a mathematical expression that lacks an equality sign, such as 3x + 2 or 5y – 7, which are not equations at all.
These examples contrast equations with infinite solutions, which occur when simplifying results in an identity like 0 = 0.