# Math Help - Solve the following inequality

1. ## Solve the following inequality

|x-2| =< 2 x^2 - 9x+9

2. Originally Posted by a69356
|x-2| =< 2 x^2 - 9x+9
To see what's going on, start by drawing the graphs of $y = | x - 2|$ and $y = x^2 - 9x + 9$ and look at where the two graphs intersect.

3. we have $-\big(2x^2-9x+9\big)\le x+2\le2x^2-9x+9.$

we have to inequalities, then solve the first and the second one, each one of them will give ya a set, intersect those sets and you'll get the solution.