3.43: Modulus equation and graphical inequality

0606/23/M/J/23 — Question 1 · 5 marks

3.43 diagram
(a)
Solve the equation x7=4|x - 7| = 4.
[2]
(b)
The diagram shows the graph of y=x+3y = |x| + 3. By drawing a suitable graph on the same diagram, solve the inequality x+35x|x| + 3 \geqslant |5 - x|.
[3]