(a) Show the inequality \(x \lt 3\) on the number line below.(2)
(b) Solve the inequality \(4x - 7 \geqslant 13\) (2)
Mark scheme (a)
Answer
Mark
Notes
Diagram
2
B2 for fully correct solution with all three aspects with no ambiguity Aspect 1: circle at 3 Aspect 2: circle not shaded Aspect 3: arrow pointing left indicating extension beyond \(-4\) or line extending beyond \(-4\) (B1 for any two aspects)
Mark scheme (b)
Answer
Mark
Notes
\(x \geqslant 5\)
2
M1 for intention to add 7 to both sides (of inequality or equation) or to divide all 3 terms by 4 as a first step, or \((x =)\ 5\) A1 for \(x \geqslant 5\) oe
