Question 2
Let $\triangle ABC$ be a triangle. Angle bisector of $\angle CAB$ intersects the segment $\overline{BC}$ at $D$, and angle bisector of $\angle ABC$ intersects the segment $\overline{AC}$ at $E$. If $\angle ACB \ge 60^\circ$, prove that $|AE| + |BD| \le |AB|$.