\(a)\dfrac{x+5}{x+3}< 1\left(x\ne-3\right)\\ \Leftrightarrow\dfrac{x+5}{x+3}-1< 0\\ \Leftrightarrow\dfrac{x+5-\left(x+3\right)}{x+3}< 0\\ \Leftrightarrow\dfrac{x+5-x-3}{x+3}< 0\\ \Leftrightarrow\dfrac{2}{x+3}< 0\\ \Leftrightarrow x+3< 0\\ \Leftrightarrow x< -3\left(TM\right)\)