Ответ:

  1. \(5(x-1)+7<1-3(x+2)\)
    \(5x+2<-3x-5\)
    \(8x<-7\)
    \(x<-\frac{7}{8}\).
  2. \(4(a+8)-7(a-1)<12\)
    \(-3a+39<12\)
    \(-3a<-27\)
    \(a>9\).
  3. \(4(b-1.5)-1.2\ge6b-1\)
    \(4b-7.2\ge6b-1\)
    \(-6.2\ge2b\)
    \(b\le-3.1=-\frac{31}{10}\).
  4. \(1.7-3(1-m)<-(m-1.9)\)
    \(3m-1.3<-m+1.9\)
    \(4m<3.2\)
    \(m<0.8\).
  5. \(4x>12(3x-1)-16(x+1)\)
    \(4x>20x-28\)
    \(-16x>-28\)
    \(x<\frac{7}{4}\).
  6. \(a+2<5(2a+8)+13(4-a)\)
    \(a+2<-3a+92\)
    \(4a<90\)
    \(a<22.5\).
  7. \(6y-(y+8)-3(2-y)\le2\)
    \(8y-14\le2\)
    \(8y\le16\)
    \(y\le2\).