Final answer:
The correct inequality according to the triangle inequality theorem when point C is not between points A and B is AC + CB > AB. This is because AC and CB would form two sides of a triangle with AB being the third side. Therefore, the sum of AC and CB must be greater than AB.
Step-by-step explanation:
In the field of Geometry, when point C is not located between points A and B, the inequality that matches the given situation will be AC + CB > AB. This is based on the triangle inequality theorem which states the sum of the lengths of any two sides of a triangle is always greater than the length of the third side. So, if point C is not between A and B, then AC and CB would be considered as two sides of a triangle and AB would be the third side implying AC + CB would always be greater than AB.
Learn more about Triangle Inequality Theorem