(a) On the axes, draw the graphs of $y = 5 + 3x - 2 $ and $y = 11 - x$. (b) Using the graphs, or otherwise, solve the inequality $11 - x < 5 + 3x - 2 $.

Additional Mathematics 4037/22 — October/November 2021

Cambridge O-Level · Calculator · worked solutions for every part, with the mark scheme

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120

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Topics Calculus · Series · Trigonometry · Logarithmic and exponential functions · Straight-line graphs · Equations, inequalities and graphs · +4 more

Q1Equations, inequalities and graphsFree sample

(a)

On the axes, draw the graphs of $y = 5 + |3x - 2|$ and $y = 11 - x$ .

Fig. 1

(b)

Using the graphs, or otherwise, solve the inequality $11 - x < 5 + |3x - 2|$ .

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