Hi guys..

I would like a simple explanation as of to how to get the solution set of an inequality;

Please explain using this example:

4x+5 < 5x-9

Thanks! :)

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- March 4th 2013, 11:14 PMSimimanoStraight forward inequality question
Hi guys..

I would like a simple explanation as of to how to get the solution set of an inequality;

Please explain using this example:

4x+5 < 5x-9

Thanks! :) - March 4th 2013, 11:26 PMEducatedRe: Straight forward inequality question
Move all the x's to one side. Move all the numbers to the other side.

Eg.

(Just note that in inequalities when you divide or multiply by a negavive number you have to switch the direction of the inequality) - March 4th 2013, 11:42 PMSimimanoRe: Straight forward inequality question
Thanks, that inequality solution set is quite straight forward..But when I hit this one in the text book..I was a bit confused, could you perhaps shed some light on it:

-2 ≦ x+1≦3

Thanks a lot!! - March 4th 2013, 11:55 PMEducatedRe: Straight forward inequality question
It's pretty much the same thing, just recall basic algebra:

To get the 2 to the other side, we add 2 to both sides:

It's the exact same thing here with this inequality:

Subtract 1 from all parts:

So we get: