(a)An inequality is shown on the number line. Write down this inequality. (2)
(b)
(i) Solve the inequality \(2x + 9 > 1\)
(ii) \(n\) is a negative integer. Write down all the values of \(n\) which satisfy \(2n + 9 > 1\)
(4)
Mark scheme (a)
Scheme
Marks
\(-4 \leqslant x \lt 3\)
B2
(2)
Notes
B2: Also accept ‘\(x \lt 3\) and \(x \geqslant -4\)’ B1 for \(-4 \leqslant x \leqslant 3\), \(-4 \lt x \lt 3\), \(-4 \lt x \leqslant 3\), a double-ended inequality which is correct at one end (ignore the other end) Also award B1 for \(x \geqslant -4\), \(x \lt 3\), ‘\(x \lt 3\) or \(x \geqslant -4\)’
Mark scheme (b)
Scheme
Marks
(i) \(2x > -8\)
M1
\(x > -4\)
A1
(ii) Answer: −3 −2 −1
B2
(4)
(6 marks)
Notes
M1: for \(2x > -8\) or \(x + 4.5 > 0.5\)
A1: for \(x > -4\) as final answer
B2: B1 for 3 correct and 1 wrong or for 2 correct and none wrong
