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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.

 Apr 15, 2018
 #1
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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

 

 

The  answer is :

 

p  = (3/5, 8/3 ]

 

 

cool cool cool

 Apr 15, 2018

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