[tex]0,1x +1 < -\frac12\\\\0,1x < -0,5-1\\\\0,1x < -1,5\qquad/\cdot 10\\\\x<-15\\\\ x\in(-\infty,\,-15)[/tex]
[tex]5x - 7\ge3x + 5\\\\5x-3x\ge5+7\\\\2x\ge12\qquad/:2\\\\x\ge6\\\\x\in\big<6,\,\infty)[/tex]