Question 77805
.


The solutions by   @CubeyThePenguin  is INCORRECT.


I came to bring you the correct solution.



<pre>
    x^2 - 5x >= -6   ----------->


    x^2 - 5x + 6 >= 0


    (x-3*(x-2) >= 0


    <U>ANSWER</U>.  The solution set  is  (-oo,2] U [3,oo).
</pre>


Ignore the post by @Penguine, since his plot is incorrect.