 Solution

ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2019/ii/paper-2/16i/iv/solution

Codex  0 Created 2026-09-24 Updated 2026-10-03

False. Take

α = ω

and

β = ω \cdot 2

. Then

α + β = ω \cdot 3 = β + α,

α β = ω^{2} \cdot 2, β α = (ω \cdot 2) ω = ω^{2} .

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