(ii) On the number line below, represent the solution set of the inequality solved in part (c)(i)(1)
Mark scheme (a)
Scheme
Marks
\(8x^2 + 20x - 6x^2 + 9x\)
M1
\(2x^2 + 29x\)
A1
(2)
Notes
M1: 3 correct terms or all 4 terms condoning incorrect signs
Mark scheme (b)
Scheme
Marks
\(y^5 \times y^n = y^{19}\) or \(y^{-1} \times y^n = y^{13}\) or \(5 + n - 6 = 13\)
M1
14
A1
(2)
Notes
M1: Use of 1 rule of indices or a correct equation in \(n\)
A1: Accept \(y^{14}\)
Mark scheme (c)
Scheme
Marks
(i) \(7t - 2t \lt 7 + 8\) oe eg \(5t \lt 15\) oe
M1
\(t \lt 3\)
A1
(2)
(ii) Answer: open circle at \(t = 3\) and a line with an arrow to the left
B1ft
(1)
(7 marks)
Notes
M1: Terms in \(t\) on one side and number terms the other side – may be in an equation or the incorrect inequality sign or an answer of \(t = 3\) or eg \(t \geqslant 3\)
A1: Must be a correct inequality given as answer
B1ft: Allow a line without an arrow if it reaches to at least −5, with an arrow it can be any length
