5}} \right.\; \left \{ {{x\geq 2} \atop {x>1}} \right. \; \; \to \; \; x\geq 2\; \; ;\; \; \underline {5\in [\, 2,+\infty )\; }\\\\\\5)\; \; \left \{ {{x+1<9} \atop {-2x<6}} \right.\; \left \{ {{x<8} \atop {x>-3}} \right. \; \; \to \; \; x\in (-3,8)\\\\\left \{ {{x-2>8} \atop {-3x<9}} \right.\; \left \{ {{x>10} \atop {x>-3}} \right. \; \; \to \; \; x>10\; \; ;\; \; x\in (10,+\infty )" alt="4)\; \; a)\; \left \{ {{-2x\geq 8} \atop {5x-1<9}} \right.\; \left \{ {{x\leq -4} \atop {x<2}} \right. \; \; \to \; \; x\leq -4\; \; ;\; \; \underline {-8\in (-\infty ,-4\, ]\; }\\\\\left \{ {{-5x\leq -10} \atop {3x+2>5}} \right.\; \left \{ {{x\geq 2} \atop {x>1}} \right. \; \; \to \; \; x\geq 2\; \; ;\; \; \underline {5\in [\, 2,+\infty )\; }\\\\\\5)\; \; \left \{ {{x+1<9} \atop {-2x<6}} \right.\; \left \{ {{x<8} \atop {x>-3}} \right. \; \; \to \; \; x\in (-3,8)\\\\\left \{ {{x-2>8} \atop {-3x<9}} \right.\; \left \{ {{x>10} \atop {x>-3}} \right. \; \; \to \; \; x>10\; \; ;\; \; x\in (10,+\infty )" align="absmiddle" class="latex-formula">
![6)\; \; ybuvaet:\; \; x\in (-\infty ,1\, ]\\\\vozrastaet:\; \; x\in [\, 1,+\infty )\\\\7)\; \; 6<x<8\; \; ,\; \; 8<y<10\\\\-40<-5x<-30\qquad \qquad \; \; \; \qquad -30<-5y<-40\\\\8-40<y-5x<10-30\qquad \qquad 6-30<x-5y<8-40\\\\-32<y-5x<-20\qquad \qquad \qquad \qquad -24<x-5y<-32](https://tex.z-dn.net/?f=6%29%5C%3B%20%5C%3B%20ybuvaet%3A%5C%3B%20%5C%3B%20x%5Cin%20%28-%5Cinfty%20%2C1%5C%2C%20%5D%5C%5C%5C%5Cvozrastaet%3A%5C%3B%20%5C%3B%20x%5Cin%20%5B%5C%2C%201%2C%2B%5Cinfty%20%29%5C%5C%5C%5C7%29%5C%3B%20%5C%3B%206%3Cx%3C8%5C%3B%20%5C%3B%20%2C%5C%3B%20%5C%3B%208%3Cy%3C10%5C%5C%5C%5C-40%3C-5x%3C-30%5Cqquad%20%5Cqquad%20%5C%3B%20%5C%3B%20%5C%3B%20%5Cqquad%20%20-30%3C-5y%3C-40%5C%5C%5C%5C8-40%3Cy-5x%3C10-30%5Cqquad%20%5Cqquad%206-30%3Cx-5y%3C8-40%5C%5C%5C%5C-32%3Cy-5x%3C-20%5Cqquad%20%5Cqquad%20%5Cqquad%20%5Cqquad%20-24%3Cx-5y%3C-32 "6)\; \; ybuvaet:\; \; x\in (-\infty ,1\, ]\\\\vozrastaet:\; \; x\in [\, 1,+\infty )\\\\7)\; \; 6<x<8\; \; ,\; \; 8<y<10\\\\-40<-5x<-30\qquad \qquad \; \; \; \qquad -30<-5y<-40\\\\8-40<y-5x<10-30\qquad \qquad 6-30<x-5y<8-40\\\\-32<y-5x<-20\qquad \qquad \qquad \qquad -24<x-5y<-32")