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.
0 ≥ 64p - 144 0 > 22 - 20p
144 ≥ 64p 20p > 22
144/64 ≥ p p > 22/20
p ≤ 144/64 p > 11/10
p ≤ 9/4
p = (11/10 , 9/4 ]
