Question

Алгебра. Даю 10 балів.

Виконати 1 завдання.

Answer 1

$\displaystyle\bf\\|x^{2} -5|\geq 4\\\\\\\left[\begin{array}{ccc}x^{2} -5\geq 4\\x^{2} -5\leq -4\end{array}\right\\\\\\\left[\begin{array}{ccc}x^{2} -9\geq 0\\x^{2} -1\leq 0\end{array}\right\\\\\\\left[\begin{array}{ccc}(x-3)(x+3)\geq 0\\(x-1)(x+1)\leq 0\end{array}\right$

\\\\\\\\\\\\\\\\\\\                                                         ///////////////////

--------------[-3]------------[-1]--------------[1]-----------------[3]---------------

                                  /////////////////////

Ответ  :  x ∈ (- ∞ ; -3] ∪ [ - 1 ;  1] ∪ [3 ; +∞)