[latex] \left \{ {{2x+5 \geq 7-4x} \atop {3(2-x) \ \textless \ 5x}} \atop {x-3} \leq 2-x} \right. [/latex]

[latex] \left \{ {{2x+5 \geq 7-4x} \atop {3(2-x)\ \textless \ 5x}} \atop {x-3 \leq 2-x}} \right. [/latex] [latex] \left \{ {{2x+4x \geq 7-5} \atop {6-3x\ \textless \ 5x}} \atop {x+x \leq 2+3}} \right. [/latex] [latex] \left \{ {{6x \geq 2} \atop {-8x\ \textless \ -6}} \atop {2x \leq 5}} \right. [/latex] [latex] \left \{ {{x \geq \frac{1}{3} } \atop {x\ \textgreater \ \frac{3}{4} }} \atop {x \leq 2.5}} \right. [/latex] Ответ: [latex]( \frac{3}{4} ;2.5][/latex]