(a)[3]
Sketch, on the same diagram, the graphs of $y = |x + 2k|$ and $y = |2x - 3k|$, where $k$ is a positive constant. Give, in terms of $k$, the coordinates of the points where each graph crosses the axes.
(b)[4]
Find, in terms of $k$, the coordinates of the two intersection points of the graphs.
(c)[2]
Find, in terms of $k$, the greatest value of $t$ that satisfies the inequality $|2^t + 2k| \ge |2^{t-1} - 3k|$.