Target Mathematics

3.71: Modulus graphs and inequality

0606/11/O/N/22 — Question 1 · 6 marks

(a)
On the axes, sketch the graphs of y=x+2y = |x+2| and y=53xy = 5-3|x| for 2x8-2 \leqslant x \leqslant 8. State the coordinates of any points where the graphs meet the axes.
[4]
(b)
Hence solve x+253x|x+2| \geqslant 5-3|x|.
[2]