Решите систему неравенств: {(x2+1)(x2+3)(x2−2)≥0 {x меньше 3
Решите систему неравенств:
{(x2+1)(x2+3)(x2−2)≥0
{x<3
Ответ(ы) на вопрос:
{x<3
{(x²+1)(x²+3)(x²-2)≥0
x²+1>0 U x²+3>0 при любом х⇒x²-2≥0
(x-√2)(x+√2)≥0
x=√2 x=-√2
////////////////// \\\\\\\\\\\\\\\\\\\\\\\\
+ _ +
---------------[-√2]-----------------[√2]---------(3)---------------
\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\
x∈(-∞;-√2] U [√2;3)
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