(a) \(n\) is an integer. \(-1 \leqslant n \lt 4\) List the possible values of \(n\). (2)
(b)Write down the inequality shown in the diagram. (2)
(c) Solve \(3y - 2 \gt 5\) (2)
Mark scheme (a)
Answer
Mark
Notes
\(-1\), 0, 1, 2, 3
2
B2 for all 5 correct values; ignore repeats, any order (B1 for 4 correct (and no incorrect values) eg. 0, 1, 2, 3 or one additional value, eg \(-1\), 0, 1, 2, 3, 4)
Mark scheme (b)
Answer
Mark
Notes
\(-4 \lt x \leqslant 3\)
2
B2 for \(-4 \lt x \leqslant 3\) or \(\gt -4\) and \(\leqslant 3\) (B1 for \(-4 \lt x\) or \(x \gt -4\) or \(x \leqslant 3\) or \(3 \geqslant x\) or \(\gt -4\) or \(\leqslant 3\) or \(-4 \leqslant x \lt 3\)) (NB Accept the use of any letter)
Mark scheme (c)
Working
Answer
Mark
Notes
\(3y - 2 \gt 5\) \(3y \gt 7\)
\(y \gt \dfrac{7}{3}\)
2
M1 for clear intention to add 2 to both sides (of inequality or equation) or clear intention to divide all terms by 3 or \(3y \gt 7\) or \(3y \lt 7\) or \(3y = 7\) A1 \(y \gt \frac{7}{3}\) or \(y \gt 2\frac{1}{3}\) or \(y \gt 2.\dot{3}\) NB. final answer must be an inequality (SC B1 for \(\frac{7}{3}\) oe seen if M0 scored)
