5x-2 entre 4 < 4 indica el mayor entero que toma x

[tex] {\dfrac{5x-2}{4}<4\ \ \ \ (\times4)}\\\\{5x-2<16}\\\\{5x<18}\\\\{x<\frac{18}{5}}\\\\{\forall x\in (-\infty , \frac{18}{5})}\\\\{\text{El m\'aximo entero que puede tomar "x" es 3}}\\\\\\{\text{salu2.}} [/tex]