(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 $|3e^{0.1N} - 8| < 5 - e^{0.1N}$.
Mathematics 9709 · AS & A Level · Algebra
On a single diagram, sketch the graphs of $y = |3x - 8|$ and $y = 5 - x$.
Determine the solution set of $|3x - 8| < 5 - x$.
Hence find the greatest integer $N$ that satisfies $|3e^{0.1N} - 8| < 5 - e^{0.1N}$.
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” …