1) 6x<-30<br>6x/6 < -30/6
x < -5
2) -3x ≥ 18,3
-3x/-3 ≤ 18,3/-3
x≤ -18,3/3
3) 2/3x > 18
2/3x / 2/3 > 18 / 2/3
x > 18·3 / 2
x > 54/2
x > 27
4) 6-x < 4
-x + 6 < 4
-x + 6 - 6 < 4 - 6
-x < -2
x > 2
5) 4x+19≤5x-1
4x + 19 - 19 ≤ 5x -1 -19
4x ≤ 5x -20
4x-5x ≤ 5x- 5x-20
-1x ≤ -20
x ≥ 20
6) 3(1-x) + 2(2-2x) < 0
3(-x+1) + 2(-2x+2) < 0
-3x + 3 + -2·2x + 4 < 0 (x>0)
-4x -3x + 7 < 0
-7x + 7 < 0
-7x < -7
x > 1
7) 8-3x≤x-1
-3x + 8 ≤ x -1
-3x + 8 - 8 ≤ x - 1 - 8
-3x ≤ x-9
-3x - x ≤ x - x -9
-4x ≤ -9
x ≥ 9/4