Question 73885
<pre><font size = 4><b>{{{p/(-2)<-5}}}

Clear of fractions by multiplying both sides by -5
BUT, you must remember that the rules are:

1. When multiplying or dividing an inequality by a
   POSITIVE number, you DO NOT reverse the direction
   of the inequality.

2. When multiplying or dividing an inequality by a
   NEGATIVE number, you MUST reverse the direction
   of the inequality.

This is a case of multiplying an inequality by a
NEGATIVE number, so we must change the < to a >

{{{  -2(p/(-2))>-2(-5)    }}}

     {{{p > 10}}}

If you are asked for interval notation, the
answer is:

    (10,<font face = "symbol">¥</font>)

Edwin</pre>