(3p-4/3) < -1/1/6

3p - 4/3  <  -1/(1/6)

Since  -1 / (1/6)  =  -1 x (6/1)  =  -1 x 6  =  -6

3p - 4/3  <  -6

Multiply each term by 3:

9p - 4 < -18

9p  <  -14

p  <  -14/9