 Solution

ID: past-exam-of-the-mathematics-course-of-the-year-1-of-the-natural-sciences-course-of-the-university-of-cambridge/2024/paper-1/5/solution

Rearrangement gives the quadratic inequality

x^{2} - 3 x + 1 \leq 0

(3 \pm 5) /2

. Since the coefficient of

x^{2}

is positive, the quadratic inequality holds between these roots, including the endpoints:

\frac{3 - 5}{2} \leq x \leq \frac{3 + 5}{2} .

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