O-LevelAdditional MathematicsEquations, inequalities and graphs4037/22 · May/June 2022 · Q25 Marks
The diagram shows the graphs of y = |f(x)| and y = g(x), where y = f(x) and y = g(x) are straight lines. Solve the inequality |f(x)|≤g(x). [Figure 2]
- The diagram shows the graphs of y = |f(x)| and y = g(x), where y = f(x) and y = g(x) are straight lines. Solve the inequality |f(x)|≤g(x).[5]
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Mark scheme
Marking points from the official mark scheme (May/June 2022). The mark or mark type is shown in brackets.
- [B1] f(x) = -2x+5 or g(x) = x-1 soi
- [B1] Uses correct f(x) and g(x) to find the critical value 2 soi
- [M1] Valid method to find other CV e.g. 2x-5*x-1 oe seen, where * is = or any inequality sign FT their equations of form y = mx + c, for non-zero m and c; dep on first B1
- [A1] Correct critical value 4 soi
- [A1] 2 ≤ x ≤ 4 mark final answer
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