# Math Help - inequality

1. ## inequality

Im not sure how to answer this question! Either I square both sides, change the inequality and get a very confusing polynomial degree 4 taking or I take away modulus sign giving me the fraction in the middle where I dont know what to do. Ive never been shown how o do this type of question so if someone could help me out that would be great. thnx
solve $\frac{2x+3}{x-5}

ps sorry I couldnt work out the modulus sign to cover two lines but the modulus is of the whole fraction on the RHS

2. $\frac{2x+3}{x-5}<\left| \frac{4x+12}{x+1} \right|$ implies that $\frac{4x+12}{x+1}>\frac{2x+3}{x-5}$ or $\frac{4x+12}{x+1}<-\frac{2x+3}{x-5}.$ Do each one of them. Solution set is the union of solution for the first inequality and the second one.

3. thanks i got $\frac{2\sqrt{17}}{4} is this the right answer and what you mean by union? thanks