(a)[1]
Draw a sketch of the graph of $y = |x + 3a|$.
(b)[2]
Using this, or another valid method, solve the inequality $|x + 3a| > a - 2x$.
Mathematics 9709 · AS & A Level · Algebra
Algebra — practice question
with $a$ taken as a positive constant.
Worked solution & mark scheme
This 3-mark question has a full step-by-step worked solution and mark scheme. One marking point: “A sketch of the modulus graph showing the vertex at $(-3a,0)$, the point $(0,3a)$, two solid line segments, approximately symmetrical, and lying in both quadrants above the $x$-axis” …
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