SOLUTION: {{{ 8/(2p) + 11/(4p) < 1/2 }}} Solve the inequality. After finding the important values/zeroes (0 and 13.5) I plugged -1, 1 and 14 into the inequality 27 - 2p < 0, and found

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Question 976980:
Solve the inequality.
After finding the important values/zeroes (0 and 13.5)
I plugged -1, 1 and 14 into the inequality 27 - 2p < 0, and found that only 14 worked
However, when plugged into the original both -1 and 14 worked
Why did -1 not work in the previous inequality but did work in the original
Should I get in the habit of plugging my answer into the original rather than my supposed similar inequality?

Found 2 solutions by FrankM, MathTherapy:
Answer by FrankM(1040)   (Show Source): You can put this solution on YOUR website!








p>13.5 or p<0 Note 13.5 makes left side = 1, so it must be greater. And all negative numbers work.

Answer by MathTherapy(10810)   (Show Source): You can put this solution on YOUR website!


Solve the inequality.
After finding the important values/zeroes (0 and 13.5)
I plugged -1, 1 and 14 into the inequality 27 - 2p < 0, and found that only 14 worked
However, when plugged into the original both -1 and 14 worked
Why did -1 not work in the previous inequality but did work in the original
Should I get in the habit of plugging my answer into the original rather than my supposed similar inequality? 


"- 1 didn't work in the previous inequality but worked in original." What are you talking about? 

Your CRITICAL VALUES - 1 (< 0); 1 (0 < p < 13.5); and 14 (p > 13.5) are the correct values to test in 

each interval, and values < 0, and those > 13.5 do satisfy the inequality:  

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