Posted by Cynthia on Thursday, April 3, 2008 at 4:51pm.
solve
x+21/x+3<2
x+21/x+3  2(x+3)/x+3 <0
x+212(x3)/x+3<0
x+212x6/x+3<0
answer
15x/x3<0(is this right?)

Algebra  Anonymous, Thursday, April 3, 2008 at 5:07pm
You are close. They want you to find the values of x so that the equation the inequality is true. So just do that and you have your answer. I'll be happy to check you answer again when you are done.
Just a note. When you are writing fractions horizontally, you have to put parenthesis around the numerator and the denominator. Otherwise like for your x+21/x+3
It's the same as x + (21/x) + 3. The proper way to do it is (x+21)/(x+3) but anyways its very minor and you probably don't right fractions horizontally in real life, normally. 
Algebra  Cynthia, Thursday, April 3, 2008 at 10:31pm
Is this right?
(15x)/(x3)<0
15x<0
x<15
answer is x>15
x+3<0
answer is x<3