Question

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

Answer 1

Answer: -5<=x≤3   ==> 3rd option

Step-by-step explanation:

(x-3)(x+5)≤0

x-3>=0 and x+5≤0

x>=3 and x≤-5      ==> Not possible since a number subtracted by 3 can't be greater than the same number added by 5.

x-3≤0 and x+5>=0

x≤3 and x>=-5 ==> -5<=x≤3   ==> 3rd option