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

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Answer 1 · 2016-04-15T12:11:38

$x \leq 3 and x \geq - 5, S o, x \in [- 5, 3]$ $x<=3 and x>=-5, So, x in [-5, 3 ]$ .

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

opposite signs.

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

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