Question

e
esolve (x-2)(x+3) ²<0​

Answer 1

Step-by-step explanation:

Product of two expressions is not positive, if one of factors is not positive.

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(x+3)(x-2)≤0 -----> 1. x + 3 ≤ 0 and x - 2 ≥ 0 2. x - 2 ≤ 0 and x + 3 ≥ 0

x ≤ -3 and x ≥ 2 x ≤ 2 and x ≥ -3 --------> Let's analyze each interval and segment. Let's pick up, for example, numbers {-4, -3, 0, 2, 3}

(-4+3)(-4-2)>0 ----> (- ∞, -3) isn't the solution, (0+3)(0-2)<0 ----> [-3,2] is solution, (3+3)(3-2)>0 ----> isn't the solution. The answer is [-3,2]

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