Question 1087116
.
<pre>
x*(x+1) > 6   is equivalent to  

{{{x^2 + x}}} > 6   is equivalent to

{{{x^2 + x - 6}}} > 0   is equivalent to

(x+3)*(x-2) > 0.


The last inequality has two sets of solutions:  1)  x < -3,   and  2)  x > 2.

In the interval form: ({{{-infinity}}},-3) U (2,{{{infinity}}}).
</pre>

Solved.


<U>Illustration</U>:


{{{graph( 330, 330, -5.5, 5.5, -2.5, 10.5,
          x*(x+1), 6
)}}}


Plot y = x*(x+1)  (red line)  and y = 6 (green line)



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The solution by @josgarithmetic is <U>WRONG</U>.  For your safety, ignore it !