Higher June 2021 Paper 1 Q7
7 \(-4 \leqslant 2y \lt 6\)
\(y\) is an integer.
(a) Write down all the possible values of \(y\). (2)
(b) Solve the inequality \(7t - 3 \leqslant 2t + 31\)
Show your working clearly. (2)
Show your working clearly. (2)
| Scheme | Marks |
|---|---|
| −2, −1, 0, 1, 2 | B2 |
| (2) |
Notes
B2: (B1 for 4 correct values and no incorrect values (eg –1, 0, 1, 2) or for 6 values with no more than one incorrect value (eg –2, –1, 0, 1, 2, 3))
| Scheme | Marks |
|---|---|
| \(7t - 2t \leqslant 31 + 3\) or \(5t \leqslant 34\) or \(-3 - 31 \leqslant 2t - 7t\) or \(-34 \leqslant -5t\) oe | M1 |
| Working required Answer: \(t \leqslant 6.8\) | A1 |
| (2) | |
| (4 marks) |
Notes
M1: \(t\) terms on one side and numbers on the other. Condone = rather than \(\leqslant\) or any other sign for this mark.
A1: oe (dep on M1) eg \(t \leqslant \dfrac{34}{5}\) or \(t \leqslant 6\dfrac{4}{5}\) or \(6.8 \geqslant t\)
Must have correct sign on answer line (sight of correct answer in working space and just 6.8 oe on answer line gains M1 only)