Question 39368
{{{(x+33)/(x+3) >= 7}}}
{{{((x+33)(x+3))/(x+3) >= 7(x+3)}}}
{{{(x+33) >= 7(x+3)}}}
{{{x + 33 >= 7x + 21}}}
{{{x + 33 - x >= 6x - x + 21}}}
{{{33 >= 6x + 21}}}
{{{33 - 21 >= 6x + 21 - 21}}}
{{{12 >= 6x}}}
{{{2 >= x}}}
Since any number cannot equal zero, {{{x}}} cannot equal {{{-3}}}.
<------ {2} ========= (-3) ------->
The shaded region (=======) is the location of the answers. (-3) means not equal to while {2} means equal to.