Question

Розв'яжіть систему нерівностей

Answer 1

$\left \{ {{5+x\leq 2} \atop {x-6 < 2x}} \right. \left \{ {{x\leq -5+2} \atop {x-2x < 6}} \right. \left \{ {{x\leq -3} \atop {x > -6}} \right.$      

x ∈ (-6;-3]

Answer 2

$\displaystyle\bf\\\left \{ {{5+x\leq 2} \atop {x-6 < 2x}} \right. \\\\\\\left \{ {{x\leq 2-5} \atop {x-2x < 6}} \right. \\\\\\\left \{ {{x\leq -3} \atop {-x < 6}} \right. \\\\\\\left \{ {{x\leq -3} \atop {x > -6}} \right.$

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

--------------( - 6) --------------[ - 3]-------------

\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\

Ответ  : x ∈ ( - 6 ; - 3]