4MA0 Foundation June 2017 Paper 2R Q23
23
(a) Solve the inequality \(4x + 13 \geqslant 27\) (2)
(b) On the number line, represent the inequality \(y \geqslant -1\)
\(n\) is an integer.
(c) Write down all the values of \(n\) that satisfy \(-3 \lt n \leqslant 2\) (2)
| Scheme | Marks |
|---|---|
| \(4x \geqslant 27 - 13\) or \(4x \geqslant 14\) or \(-4x \leqslant 13 - 27\) or \(-4x \leqslant -14\) | M1 |
| \(x \geqslant 3.5\) | A1 |
| (2) |
Notes
M1: Accept an equation in place of an inequality or
Accept wrong inequality sign or
Accept 3.5 oe given as answer
A1: oe
Must be the final answer
| Scheme | Marks |
|---|---|
| Correct line drawn | B1 |
| (1) |
Notes
B1: For a closed circle at −1with line that goes at least as far as 3 or
For a closed circle at −1 with an arrow on a line pointing to the right
| Scheme | Marks |
|---|---|
| −2, −1, 0, 1, 2 | B2 |
| (2) | |
| (5 marks) |
Notes
B2: B1 for list with one error or omission:
e.g.
−2, −1, 0, 1, 2, 3;
−1, 0, 1, 2;
−2, −1, 1, 2;
−3, −2, −1, 0, 1, 2
SCB1 for −3, −2, −1, 0, 1