Решите неравенство (3x+2)(5+3x)(x-3)>0

Question

Решите неравенство
(3x+2)(5+3x)(x-3)>0

Answer 1

(3x + 2)(5 + 3x)(x - 3) > 0
3 * 3 *(x + 2/3) (x + 5/3)(x - 3) > 0
(x + 2/3)(x + 5/3)(x - 3) > 0

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   -    2/3       +         5/3     -         3       +

x э (2/3 ; (1) 2/3) U ( 3 ; + ∞)