Автор - merlin3

5x>2x-6
3x<12-3x
решите систему

x+2-3(x-1)>=2x
5x+4<12-(x-3)
срочно решитеее плиизз

Ответ

Автор - m11m
{5x>2x-6      {5x-2x>-6         {3x>-6     {x>-2
{3x<12-3x     {3x+3x<12       {6x<12    {x<2
                \\\\\\\\\\\\
---------- - 2----------- 2-----------
\\\\\\\\\\\\\
-2<x<2
x∈(-2; 2)

{x+2-3(x-1)≥2x       {x+2-3x+3≥2x    {-2x-2x≥-5      {-4x≥-5   {x≤1.25
{5x+4<12-(x-3)       {5x+4<12-x+3    {5x+x<15-4    {6x<11   {x<1⁵/₆
\\\\\\\
----------- 1.25-------1⁵/₆----------
\\\\\\\\\\\\\\
x≤1.25
x∈(-∞; 1,25]

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