Question

Решите, пожалуйста, очень нужно

Answer 1

$1)\; \; \left \{ {{2x+3>3x} \atop {1+2x<0}} \right.\; \; \left \{ {{x<3} \atop {x<-\frac{1}{2}}} \right.\; \; \to \; \; x<-\frac{1}{2}\\\\2)\; \; \left \{ {{2-5x>0} \atop {3x+1<x}} \right. \; \; \left \{ {{x<\frac{2}{5}} \atop {x<\frac{1}{2}}} \right. \; \; \to \; \; x<\frac{2}{5}\\\\3)\; \; \left \{ {{3x+7<6x+16} \atop {2x+4>15}} \right. \; \; \left \{ {{3x>-9} \atop {2x>11}} \right.\; \; \left \{ {{x>-3} \atop {x>5,5}} \right. \; \; \to \; \; x>5,5\\\\4)\; \; \left \{ {{1-4x<13} \atop {5x-8<3x+1}} \right.\; \; \left \{ {{-12<4x} \atop {2x<9}} \right\; \; \left \{ {{x>-3} \atop {x<4,5}} \right.\; \; \to \; \; \; -3<x<4,5$

$5)\; \; \left \{ {x+4>3x-2} \atop {5x+8>0}} \right.\; \; \left \{ {{6>2x} \atop {5x>-8}} \right. \; \; \left \{ {{x<3} \atop {x>-1,6}} \right. \; \; \to \; \; \; -1,6<x<3\\\\6)\; \; \left \{ {{2x+7>4x-8} \atop {10+4x>0}} \right.\; \; \left \{ {{15>2x} \atop {4x>-10}} \right. \; \; \left \{ {{x<7,5} \atop {x<-2,5}} \right.\; \; \to \; \; \; x<-2,5$