Mathematics 9709 · AS & A Level · Algebra

Algebra — practice question

(a)[2]

On a single diagram, sketch the graphs of $y = |3x - 8|$ and $y = 5 - x$.

(b)[4]

Determine the solution set of $|3x - 8| < 5 - x$.

(c)[2]

Hence find the greatest integer $N$ that satisfies $|3e^{0.1N} - 8| < 5 - e^{0.1N}$.

Worked solution & mark scheme

This 8-mark question has a full step-by-step worked solution and mark scheme. One marking point: Show a V-shaped graph whose vertex is on the positive $x$-axis in the first quadrant

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