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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.

gueesstt  Apr 15, 2018
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0 ≥ 54p - 144

0 > 12 - 20p

144 ≥ 54p    divide both sides by 54

144/54 ≥ p

8/3 ≥ p

p ≤ 8/3

0 > 12 - 20p

20p > 12    divide both sides by  20

p > 12/20

p > 3/5

p  = (3/5, 8/3 ]

CPhill  Apr 15, 2018

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