(a)[2]
Sketch the graphs of $y=\left|\frac{1}{2}x-a\right|$ and $y=\frac{3}{2}x-\frac{1}{2}a$ on one shared diagram, where $a$ is a positive constant.
(b)[3]
Find the coordinates of the point where the two graphs intersect.
(c)[1]
Deduce the solution of the inequality $\left|\frac{1}{2}x-a\right|>\frac{3}{2}x-\frac{1}{2}a$.