Question

A. 9(h+1)-3h<10(h-1)-5
b. -2(5x+4)-x>3-(6x-5)
c. -3(x+4)-3x>1-(8x-6)

Answer 1

A. 9h + 9 - 3h < 10h - 10 -5
    6h + 9 < 10h - 15
    6h - 10h < -15 - 9
           -4h < -24
              h > 6

B. -10x - 8 - x > 3 - 6x + 5
    -11x - 8 > -6x + 8
    -11x + 6x > 8 + 8
    -5x > 16
       x < -3,2

C. -3x - 12 - 3x > 1 - 8x + 6
    -6x - 12 > -8x + 7
   -6x + 8x > 7 +12
    2x > 19
    x > 9,5

Answer 2

A.
9(h+1)-3h<10(h-1)-5
9h+9-3h<10h-10-5
6h+9<10h-15
6h-10h<-9-15
-4h<-24
(-1/4) (-4) h > (-1/4) (-24)
h>6

B.
-2(5x+4)-x>3-(6x-5)
-10x-8-x>3-6x+5
-11x-8>8-6x
-11x+6x>8+8
-5x>16
(-1/5) (-5) x < (-1/5) (16)
x<- 16/5

C.
-3(x+4)-3x>1-(8x-6)
-3x-12-3x>1-8x+6
-6x-12>7-8x
-6x+8x>7+12
(1/2) (2) x > (1/2) (19)
x>19/2