Question 74852
{{{-2/3r<7/12}}}
{{{(-3/2)(-2/3)r<(7/12)(-3/2)}}}Multiply both sides by {{{-3/2}}} multiplying by a negative flips the inequality sign.
{{{r>-21/24}}}
{{{r>-7/8}}}

To check these answers, we can plot r as x on a graph. One good program that plots and shades inequalities is Winplot, which can be downloaded here: <a href="http://math.exeter.edu/rparris/peanut/wp32z.exe">Download Winplot</a>
Note: this link leads you right to the program download.