Question

When are there no solutions to an inequality?

Answer 1

An inequality has no solutions when it represents a contradiction, such as an unsatisfiable condition (e.g., 1 > 2) or an inherently contradictory algebraic statement (e.g., x < x).

Step-by-step explanation:

There are no solutions to an inequality when the inequality is constructed in such a way that it can never be satisfied by any value. This situation occurs in cases where you have a contradiction, such as an inequality that reads 1 > 2 or after simplifying an algebraic inequality, you end up with a statement like x < x.

An example of an unsolvable inequality would be if you start with an inequality x + 3 < x - 1, and after subtracting x from both sides, you get 3 < -1, which is never true and thus has no solution.

Answer 2

when it simplifies to a false statement like 4<2

example
4x+4<4x+2
simpliefies to
4<2 which is false