Absolute functions

RaG3 SG

Hi all

I'm not sure if this is within the A lvl syllabus but more for knowledge purposes, can somebody explain how to go about solving the following inequality:

|2x-2| + x + 3 > |3x-2|

I'm not sure if the inequality can be solved eventually, but I would like to know the method of solving such inequality. The only way I can think of is graphically.

Thanks in advance.

eagle SG

Graphical method would be the clearest and easiest.

The other way is to use analysis in which you segregrate x into 3 different groups of values... which is actually the same method in which the graphical method is based on, just that you do not draw out the graph.

Eagle
Owner of Strategic Tuition

RaG3 SG

Oh man, alright.

Thanks! :)