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+2∣y = |x+2| and y=5−3∣x∣y = 5-3|x| for −2⩽x⩽8-2 \leqslant x \leqslant 8. State the coordinates of any points where the graphs meet the axes.
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(b)
Hence solve ∣x+2∣⩾5−3∣x∣|x+2| \geqslant 5-3|x|.
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