[tex]\it a)\ \dfrac{4x-27}{3x+5} < 1 \Rightarrow4x-27 < 3x+5 \Rightarrow 4x-3x < 5+27 \Rightarrow \\ \\ \\ \Rightarrow x < 32 \Rightarrow x\in\{0,\ \ 1,\ \ 2,\ \ 3,\ \ ...\ \ 31\}\\ \\ \\ b)\ \ \dfrac{4x-27}{3x+5}=1\ \stackrel{a)}{\Longrightarrow}\ x=32\\ \\ \\ c)\ \ \dfrac{4x-27}{3x+5} > 1\ \stackrel{a)}{\Longrightarrow}\ x > 32 \Rightarrow x\in\{33,\ \ 34,\ \ 35,\ \ ...\}[/tex]
