Given the inequalitiy;

We begin by finding the factors of this inequality and the appropriate signs, as follows;

Next we find the signs of x + 2

And now we find the signs of x - 3

Next step we identify the intervals that satisfy the required condition "less than or equal to zero."
That is;
![\begin{gathered} x<-4 \\ OR \\ x=-4 \\ x=-2 \\ OR \\ -2 We can now merge overlapping intervals on a number line;<p><strong>ANSWER:</strong></p>[tex]x\le-4\text{ or -2}\leq x\leq3]()