Объяснение:

1)

[tex]left { {{2*(4x-1)-3x<5*(x+2)+7} atop {frac{x-2}{3}leq frac{x-3}{2} |*6 }} right. left { {{8x-2-3x<5x+10+7} atop {2*(x-2)leq 3*(x-3)}} right. left { {{5x-2<5x+17} atop {2x-4leq 3x-9}} right. left { {{-2<17} atop {xgeq 5} right.\ [/tex]

Ответ: x∈[5;+∞).

2)

[tex]left { {frac{3*(x-1)}{2} -1,3xgeq frac{x}{5} -1,5 |*10} atop {frac{x-3}{5}<frac{x+5}{3} |*15 }} right. left { {{5*3*(x-1)-13xgeq 2*x-15} atop {3*(x-3)<5*(x+5)}} right. left { {{15x-15-13xgeq 2x-15} atop {3x-9<5x+25}} right. \ left { {{2x-15geq 2x-15} atop {2x>-34 |:2}} right. left { {{xin(-infty;+infty)} atop {x>-17}} right. Rightarrow xin(-17;+infty).[/tex]

Ответ: x∈(-17;+∞).