Question

Решите неравенство
(x-5) (x+6) (2x-1) < 0

Answer 1

(x-5) (x+6) (2x-1) < 0

{(x-5)*(x+6)<0
{2x-1>0
{(x-5)*(x+6)>0
{2x-1<0

{x∈(-6; 5)
{x>1/2
{x∈(-∞; -6) ∪ (5; +∞)
{x<1/2

x∈(1/2; 5)
x∈(-∞; -6)

ответ x∈ (-∞; -6) ∪ (1/2; 5)