Factorising the left side of the inequality, it becomes (x+5)(x-4) >0

Since the product of two factors is >0, that means it is a positive, it can be concluded that either both the factors are positive or both the factors are negative.

(i) x+5>0, x-4>0

Or,

(ii) x+5<0, x-4<0

(i) signifies x> -5 and x> 4. Thus x>4 is a solution (it implies x>-5)

(ii) signifies x<-5 and x<4. Thus x<-5 is a solution ( it implies x<4).

Put on the numberline the solution would look like as

It is evident that there are no numbers (points on the numberline) that are greater than 4 and less than -5 at the same time.

Hence it can be said that the given inequality has no solution.

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