Simple Inequality HELP PLEASE

[kimhanna_7]

Equation: 1/(x + 2) > 3/(x + 1)
I know how inequalities work, but I have no idea on where to start. Do I subtract the 3/(x+1) to the other side and find a common denominator? If so, I have no idea what to do after that.

 

[Harry_the_cat]

I would reciprocate both sides. If 1/a < 1/b, then a>b.

 

[Dr.Peterson]

Reciprocals can work if the denominators are known to be positive. But in general, I would do what you suggested.

Please take that step and show us your result, and we can work through the next step. You might also want to look up information about solving rational inequalities, such as here. Essentially, you'll be looking for conditions under which the resulting fraction is positive, based on the signs of factors.

 

[Steven G]

I would reciprocate both sides. If 1/a < 1/b, then a>b.

Please consider the case where 1/a<0 and 1/b>0.

 

[Harry_the_cat]

Please consider the case where 1/a<0 and 1/b>0.

You're right. I've sent myself to the corner.