1. 2/3X -5/6> 3/4x 2. 3x/4- x/8 < 1/2 3. x/2 + 5/6 < 2x/3 4. p/4 - p-3/6 > 5/8

1.
2/3x - 5/6 > 3/4x
2/3x - 3/4x > 5/6
8 - 9/12 x > 5/6
-1/12x > 5/6
x > 5/6 : -1/12
x > 5/6 (-12)
x > -10

2.
3x/4 - x/8 < 1/2
----------------------- (x8)
6x - x < 4
5x < 4
x < 4/5

3.
x/2 + 5/6 < 2x/3
------------------------- (x6)
3x + 5 < 4x
5 < 4x - 3x
5 < x
x > 5

4.
p/4 - p-3/6 > 5/8
6p - 4(p - 3) / 24 > 5/8
6p - 4p + 12 / 24 > 5/8
2p + 12 / 24 > 5/8
p + 6 / 12 > 5/8
8 (p + 6) > 60
8p + 48 > 60
8p > 60 - 48
8p > 12
p > 12/8
p > 3/2