4x + 6 < -6
subtract 6 from each side
4x < -12
divide by 4
x < -3
- 2/5 x-9 < 9/10
multiply each side by 10 to get rid of the fractions
10*(- 2/5 x-9) < 10*9/10
distribute
-4x -90 <9
add 90 to each side
-4x < 99
divide by -4 (which flips the inequality)
x> -99/4
x> -24 3/4