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.
solve
x+21/x+3<2
x+21/x+3 - 2(x+3)/x+3 <0
x+21-2(x-3)/x+3<0
x+21-2x-6/x+3<0
answer
15-x/x-3<0(is this right?)
2 answers
Is this right?
(15-x)/(x-3)<0
15-x<0
-x<-15
answer is x>15
x+3<0
answer is x<-3
(15-x)/(x-3)<0
15-x<0
-x<-15
answer is x>15
x+3<0
answer is x<-3
1 answer