having troubles with inequalities.. 3.8x + 14.5 < 32

[latex]3,8x + 14.5 < 32\\ 3,8x<32-14,5\\ 3,8x<17,5\ /:3,8\\ x<\frac{17,5}{3,8}\\ \\ 17\frac12 :3\frac45=\frac{35}{2} :\frac{19}5=\frac{35}2\cdot \frac5{19}\\=\frac{175}{38}=4\frac{23}{28}\\ x<4\frac{23}{28}\\ x\in (-\infty;4\frac{23}{28})[/latex]