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Inequality to solve: $2|3x + a| < |2x + 3a|$.
Mathematics 9709 · AS & A Level · Algebra
Algebra — practice question
Find the set of x-values, in terms of $a$, that satisfy the inequality, with $a$ being a positive constant.
Worked solution & mark scheme
This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Express the modulus inequality as $2^2(3x+a)^2<(2x+3a)^2$ without absolute values, or write an equivalent quadratic or a pair of linear inequalities.” …
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