analytical geometry

[LWB]

Do you know the process for solving the following inequality for all values of x? (1/(x+1)) < (2/(3x-1))
the ans. is (negative infinity,-1) & (1/3, 3) and I keep coming up with a different answer.

 

[Mrspi]

Do you know the process for solving the following inequality for all values of x? Yes....
(1/(x+1)) < (2/(3x-1))
the ans. is (negative infinity,-1) & (1/3, 3) and I keep coming up with a different answer.

Why don't you show us the work you did to "keep coming up with a different answer" so we have some idea of how you approached the problem, and where your mistake(s) might be.

 

[fasteddie65]

Instead of solving 1/(x+1) < 2/(3x-1), why not write it as 1/(x+1) - 2/(3x-1) < 0?

Combine the two rational expressions using an LCD, then make a sign chart to find the answer.