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Determine the values of $x$ that satisfy the inequality $|x + 2a| > 3|x - a|$, where $a$ is a positive constant.
Mathematics 9709 · AS & A Level · Algebra
Determine the values of $x$ that satisfy the inequality $|x + 2a| > 3|x - a|$, where $a$ is a positive constant.
This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Write down or infer the non-modular inequality $(x+2a)^2 > 3(x-a)^2$, or an equivalent quadratic approach” …