Higher November 2024 Paper 6 Q12
12
(a) Find all the possible integer values of \(x\) that satisfy the inequality \(10 \lt 3x - 2 \leqslant 21\). [3]
(b) An inequality is shown on the number line below.
Taylor says,
You can write this inequality as \(\{x : -3 \lt x \lt -6\}\).
Explain why Taylor is not correct. [1]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| 5, 6, 7 | 3 | B2 for 3 correct values with one extra or for 2 correct values OR M1 for \(10 + 2 \lt 3x\) or better M1 for \(3x \leqslant 21 + 2\) or better | For M marks condone use of incorrect inequality sign or equals |
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| −6 is smaller than −3 | 1 | Accept: It should be \(-6 \lt x \lt -3\) oe \(-3 \lt x\) contradicts \(x \lt -6\) oe −6 and −3 should be switched oe Signs are wrong way around | |