Question 5
Suppose $a$, $b$, $c$ are the side lengths of a triangle. Prove that
$$
\frac{a}{1+a}, \frac{b}{1+b}, \frac{c}{1+c}
$$
are also the side lengths of a triangle.
$$
\frac{a}{1+a}, \frac{b}{1+b}, \frac{c}{1+c}
$$
are also the side lengths of a triangle.