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=∣x−5∣y = \lvert x - 5 \rvert and y=6−∣2x−7∣y = 6 - \lvert 2x - 7 \rvert.
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(b)
Use your graphs to solve the inequality ∣x−5∣⩾6−∣2x−7∣\lvert x - 5 \rvert \geqslant 6 - \lvert 2x - 7 \rvert.
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