Edexcel C1 — Question 4 6 marks

Exam BoardEdexcel
ModuleC1 (Core Mathematics 1)
Marks6
PaperDownload PDF ↗
Mark schemeDownload PDF ↗
TopicInequalities
TypeSolve linear inequality
DifficultyEasy -1.8 Part (a) is a straightforward linear inequality requiring only expansion and collection of terms. Part (b) is routine index manipulation using the same base. Both are basic C1 skills with no problem-solving required, making this significantly easier than average.
Spec1.02a Indices: laws of indices for rational exponents1.02g Inequalities: linear and quadratic in single variable

4. (a) Solve the inequality $$4 ( x - 2 ) < 2 x + 5$$ (b) Find the value of \(y\) such that $$4 ^ { y + 1 } = 8 ^ { 2 y - 1 } .$$

AnswerMarks Guidance
(a) \(4x - 8 < 2x + 5\)M1
\(2x < 13\)
\(x < 6\frac{1}{2}\)A1
(b) \((2^y)^{y+1} = (2^3)^{2y-1}\)M1
\(2^{2y+2} = 2^{6y-3}\)A1
\(2y + 2 = 6y - 3\)M1
\(y = \frac{5}{4}\)A1 (6)
(a) $4x - 8 < 2x + 5$ | M1 |
$2x < 13$ | |
$x < 6\frac{1}{2}$ | A1 |
(b) $(2^y)^{y+1} = (2^3)^{2y-1}$ | M1 |
$2^{2y+2} = 2^{6y-3}$ | A1 |
$2y + 2 = 6y - 3$ | M1 |
$y = \frac{5}{4}$ | A1 | (6)
4. (a) Solve the inequality

$$4 ( x - 2 ) < 2 x + 5$$

(b) Find the value of $y$ such that

$$4 ^ { y + 1 } = 8 ^ { 2 y - 1 } .$$

\hfill \mbox{\textit{Edexcel C1  Q4 [6]}}