Question

Реши неравенство

(x + 1) ⋅ (x − 14) ≥ 0 , заменив его системами неравенств.

Answer 1

Ответ:

x∈(-∞; -1] ∪ [14; +∞)

Объяснение:

$(x+1)*(x-14)\geq 0$ ⇔

⇔$\left[\begin{array}{ccc}\left \{ {{x+1\geq 0} \atop {x-14\geq 0}} \right. \\ \left \{ {{x+1\leq  0 \atop {x-14\leq 0}} \right. \end{array}\right$ ⇔

⇔$\left[\begin{array}{ccc}\left \{ {{x\geq -1} \atop {x\geq 14}} \right. \\ \left \{ {{x\leq -1 \atop {x\leq 14}} \right. \end{array}\right$ ⇔

⇔$\left[\begin{array}{ccc}x\geq 14\\x\leq -1\end{array}\right$ ⇔

⇔x∈(-∞; -1] ∪ [14; +∞)