1.8: Modulus graph, equation and inequality

0606/12/O/N/18 — Question 3 · 6 marks

1.8 diagram
(i)
On the axes below, sketch the graph of y=63xy = |6 - 3x|, showing the coordinates of the points where the graph meets the coordinate axes.
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(ii)
Solve 63x=2|6 - 3x| = 2.
[3]
(iii)
Hence find the values of xx for which 63x>2|6 - 3x| > 2.
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