>   ---->  (add 7 to both sides)  ---->

 >    ---->  (factor left side)  ---->


(x+5)*(x+4) > 0,   or,  equivalently,

(x - (-5)*(x - (-4)) > 0.


1)  x < -5  ====>  both factors in the left are negative; hence, the product is positive.


2)  -5 < x < -4  ====>  factor (x - (-5)) in the left is positive while factor (x - (-4)) in the left is positive; hence, the product is negative.


3)  x > -4  ====>  both factors in the left are positive; hence, the product is positive.


Answer. The solution is the union of two intervals (,) U (,).