Thread: Solving a Rational Inequality

Using Analytical method, find the solution set of the inequality

Originally Posted by Punch

Using Analytical method, find the solution set of the inequality \frac{3}{x-1}+\frac{5}{x-2}^2 > \frac{3}{x-2}

Getting a common denominator gives and moving everything to the right hand side gives



So the inequality will change signs at



can you finish from here?

Thank you so much, but could u help me with one other thing? What does analytical method mean? i tried googling but only found definitions that i could not understand

Originally Posted by Punch

Thank you so much, but could u help me with one other thing? What does analytical method mean? i tried googling but only found definitions that i could not understand

Loosely speaking it means to find an exact solution using algebra calculus ect.

What it is saying is don't plot a graph and estimate ect.