(b) Show your answer to part (a) on the number line.
[2]
Mark scheme (a)
Answer
Marks
Part marks and guidance
\(x < 4\)
3
Mark final answer M1 for \(4x - 12 < x\) or \(x - 3 < \dfrac{x}{4}\) M1 for correct step[s] to \(ax < b\) FT their first step
For method marks, condone incorrect inequality sign or ‘equals’ sign
e.g. Answer \(x = 4\), \(x > 4\) implies M1M1
Mark scheme (b)
Answer
Marks
Part marks and guidance
Correct representation of their (a) on number line
2
Strict FTtheir (a) dep on an inequality in (a)
B1FT for their correct hollow or solid circle
B1FT for their correct arrow direction
If e.g. 3 on answer line and \(x < 3\) in working then allow FT from \(x < 3\) If answer 4 in (a) then allow \(x < 4\) here Both B1’s must be with their value from part (a) If no arrow then their line must stretch to end of line
