Find all p which satisfy both the inequalities 0 >= 64p - 144 and 0 > 22 - 20p. Express your answer in interval notation, reducing any fractions in your answer.
64p - 144 ≤ 0 → 64p ≤ 144 → p ≤ 144/64 → p ≤ 9/4
22 - 20p < 0 → 22 < 20p → 22/20 < p → p > 11/10
p = ( 11 / 10, 9 / 4 ]