SOLUTION: My review has (x-11)(x-8) > 0 I got 8 < x > 11 but the answer was 8 > x > 11 I don't understand why

That's not correct.  Sometimes answers in books are wrong.
But your answer is wrong too.  "" is NEVER written.
In an inequality with more than two sides or parts, all the
inequalities must be pointed the same way.  That is a rule
which must be followed.  

The correct answer is



And that is the only way to write it, unless you use
interval notation, which is

 

Graphed on a number line the solution is

<==============================o--------o======>
-2 -1  0  1  2  3  4  5  6  7  8  9 10 11 12 13   

Do you want to know how to solve it correctly?

Here is how:



The left side becomes 0 if  or if .

Draw this number line:

<--------------------------------------------->
-2 -1  0  1  2  3  4  5  6  7  8  9 10 11 12 13  

Draw open circles at 11 and 8

<------------------------------o--------o----->
-2 -1  0  1  2  3  4  5  6  7  8  9 10 11 12 13 

Choose any value left of x=8, say x=0. Plug it in






That is true so shade the whole side left of 8

<==============================o--------o----->
-2 -1  0  1  2  3  4  5  6  7  8  9 10 11 12 13

Choose any value right of x=8 that is also left of 11,
say x=9. Plug it in






That is false so we DO NOT shade the part between
8 and 11. So we still have:

<==============================o--------o----->
-2 -1  0  1  2  3  4  5  6  7  8  9 10 11 12 13

Choose any value right of x=11, say x=12. Plug it in






That is true so shade the whole side right of 8

<==============================o--------o======>
-2 -1  0  1  2  3  4  5  6  7  8  9 10 11 12 13

So to describe where a number x is located on that
number line you say: 

"x is either less than 8 OR x is greater than 11"



or in interval notation:



Edwin