(a)[2]
Sketch, on one set of axes, the graphs of $y = |3 - x|$ and $y = 9 - 2x$.
(b)[3]
Solve the inequality $|3 - x| > 9 - 2x$.
(c)[3]
Use logarithms to solve the inequality $2^{3x - 10} < 500$. Give your answer in the form $x < a$, with the value of $a$ correct to $3$ significant figures.
(d)[1]
State the integers that satisfy both of the inequalities $|3 - x| > 9 - 2x$ and $2^{3x - 10} < 500$.