Question 976979
{{{ 9/(h+1) > 9 }}}

Solve the inequality.

After finding the important values/zeroes (-1 and 0)
I checked -2, -.5, and 1 using the equation {{{ 9 > 9h+9 }}}and {{{ 0 > 9h }}}

When plugged into these inequalities  -2 and -.5 worked, however when plugged into the original equation only -.5 worked. 

Why did -2 not work despite it working in the above inequalities that I consider to be the same?

Also sorry if this was supposed to be posted in inequalities rather than rational functions.
<pre>You're correct: {{{h < 0}}}, and {{{h <> - 1}}}
Thus, there are 2 intervals to check: {{{h < - 1}}}, and {{{- 1 < h < 0}}}. You'll see that only those
values in the interval: {{{highlight_green(- 1 < h < 0)}}} work.
By the way, {{{h = - 2}}} DOES NOT make the inequality true, so that value is not in the interval 
of values that satisfy the inequality.