Find all $p$ which satisfy both the inequalities $0\ge 54p-144$ and $0>12-20p$. Express your answer in interval notation, reducing any fractions in your answer.
0 ≥ 54p - 144
0 > 12 - 20p
144 ≥ 54p divide both sides by 54
144/54 ≥ p
8/3 ≥ p
p ≤ 8/3
20p > 12 divide both sides by 20
p > 12/20
p > 3/5
The answer is :
p = (3/5, 8/3 ]
+612 
