[tex]1) 1+6x\leq 7, \\6x\leq 7-1, \\6x\leq 6 | : 6 \\x\leq 1\\\\2) 6x+1 > -3,\\6x > -3-1,\\6x > -4 | : 6\\\\x > \frac{-4}{6}, \\x > -\frac{2}{3}\\ \\3) 3-2x\geq 0,\\-2x\geq -3 | : (-2)\\x\leq \frac{-3}{-2},\\x\leq 1,5\\\\4) 6-15x < 0,\\-15x < -6 | :(-15)\\x > \frac{-6}{-15},\\x > \frac{2}{5} \\\\5) 4+x > 1-2x,\\x+2x > 1-4,\\3x > -3 | : 3\\x > -1\\\\6) 4x+7\leq 6x+1,\\4x-6x\leq 1-7,\\-2x\leq -6 | : (-2)\\x\geq 3[/tex]