We treat multiple part inequalities the same as regular inequalities: whatever we do to 1 piece we have to do to the entire thing.Nidhs wrote:Im having a hard time figuring this really simple question
Solve the following inequality for x:
2x>x+10>-x
Here, we can subtract x from all 3 parts to get:
x > 10 > -2x
and that's really the best we can do.
So, while it's true that x > 10, that's not the ENTIRE answer to the question. If we just focus on the right side, we get:
10 > -2x
-5 < x
So, we have two rules:
x > 10 and x > -5. Since they're both ">", we take the more extreme limintation and end up simply with:
x > 10.
