OCR MEI C3 — Question 2 2 marks

Exam BoardOCR MEI
ModuleC3 (Core Mathematics 3)
Marks2
PaperDownload PDF ↗
Mark schemeDownload PDF ↗
TopicModulus function
TypeExpress interval using modulus notation
DifficultyEasy -1.2 This is a straightforward application of the modulus function definition requiring students to recognize that the midpoint of the interval gives 'a' and half the width gives 'b'. It's a routine textbook exercise with minimal problem-solving—just pattern recognition and simple arithmetic (a=2, b=1).
Spec1.02l Modulus function: notation, relations, equations and inequalities

2 Express \(1 < x < 3\) im th \(\quad | x - a | < b\), where \(a\) and \(b\) are to be determined.

Question 2:
\(1 < x < 3\) \(1 < x\) \(2 < 1\)
AnswerMarks
\(x^2 1\)B1 B1
[2]oe
[or \(a = 2\) and \(b = 1\)]
Question 2:

$1 < x < 3$ $1 < x$ $2 < 1$

$x^2 1$ | B1 B1

[2] | oe

[or $a = 2$ and $b = 1$]
2 Express $1 < x < 3$ im th $\quad | x - a | < b$, where $a$ and $b$ are to be determined.

\hfill \mbox{\textit{OCR MEI C3  Q2 [2]}}