Question 976980

{{{ 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 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? 
<pre>{{{8/(2p) + 11/(4p) < 1/2 }}}
"- 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: {{{ 8/(2p) + 11/(4p) < 1/2 }}}