Target Mathematics

3.56: Draw graphs and solve a modulus inequality

0606/23/M/J/24 — Question 3 · 6 marks

3.56 diagram
(a)
Draw the graphs of y=2x5y = |2x - 5| and y=x4y = |x - 4| for 2x6-2 \leqslant x \leqslant 6.
[4]
(b)
Use your graphs to solve x42x5|x - 4| \geqslant |2x - 5|.
[2]