Step-by-step explanation:
[tex]a \: number \: x \: multiplied \: by \: \frac{4}{7 } \\ x \times \frac{4}{7 } \\ is \: less \: than \frac{12}{5} \\ x \times \frac{4}{7 } < \frac{12}{5} \\ multiply \: through \:b y \: the \: l.c.m \: which \: is \: 35 \\ 35 \times x \times 35 \times \frac{4}{7} < \frac{12}{5} \times 35 \\ simplify \\ 35x \times 5 \times 4 < 12 \times 7 \\ 35x \times 20 < 84 \\ 700x < 84 \\ \frac{700}{700} x < \frac{84}{700 } \\ x < \frac{84}{700} or \: 0.12[/tex]
