1) 4(x+2) < 5x-2
4x + 8 < 5x - 2
Subtract 4x from both sides:
8 < x - 2
Add 2 to both sides:
10 < x

2) 24 - 5(2x-1) = 10x+9
Expand the left side:
24 - 10x + 5 = 10x + 9
Combine like terms:
29 - 10x = 10x + 9
Add 10x to both sides:
29 = 20x + 9
Subtract 9 from both sides:
20 = 20x
x = 1

3) 7 - 3(4+3x) > 5(x-1)
7 - 12 - 9x > 5x - 5
-5 - 9x > 5x - 5
Add 5 to both sides:
-5 - 9x + 5 > 5x
-9x > 5x
Add 9x to both sides:
0 > 14x
Divide by 14:
0 > x

Therefore, the solutions are x < 10, x = 1, and x > 0.