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Find the solution of the inequality $|x + 3a| > 2|x - 2a|$, with $a$ a positive constant.
Mathematics 9709 · AS & A Level · Algebra
Find the solution of the inequality $|x + 3a| > 2|x - 2a|$, with $a$ a positive constant.
This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Show or indicate the non-modular inequality $(x+3a)^2 > (2(x-2a))^2$, or the equivalent quadratic equation, or the two linear equations $(x+3a)=\pm 2(x-2a)$” …