3.7: Modulus graphs and inequality from intersections

0606/23/O/N/21 — Question 1 · 6 marks

3.7 diagram
(a)
On the axes draw the graphs of y=x5y = \lvert x - 5 \rvert and y=62x7y = 6 - \lvert 2x - 7 \rvert.
[4]
(b)
Use your graphs to solve the inequality x562x7\lvert x - 5 \rvert \geqslant 6 - \lvert 2x - 7 \rvert.
[2]