Question

What are the solutions to the inequality `(x-3)(x+5) <= 0`?

Answer 1

`x<=3 and x>=-5, So, x in [-5, 3 ]`.

Explanation:

For the product to be negative, `(x-3) and (x+5)` should have

opposite signs.

Non-positive value graph, for `y = (x+5)(x-2)`:
graph{y-(x-3)(x+5)=0[-5 3 -16.7 0]}
Observe that the minimum is `-16`