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Find all values of $x$ that satisfy the inequality $2|2x - a| < |x + 3a|$, where $a$ is a positive constant.
Mathematics 9709 · AS & A Level · Algebra
Algebra — practice question
Worked solution & mark scheme
This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: “State or imply the equivalent inequality without modulus, $2^2(2x-a)^2<(x+3a)^2$, or the matching quadratic equation, or the pair of linear equations $2(2x-a)=\pm(x+3a)$” …
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