OCR A Level: Core 3 - Modulus [January 2013 Q3]

Algebra Level 3

\((\textbf{a})\) Given that \(|t|=3\), find the possible values of \(|2t-1|\).

\((\textbf{b})\) Solve the inequality \(|x-\sqrt2|>|x+3\sqrt2|\).

Let the two possible values of \(|2t-1|\) be \(y\) and \(z\), and let \(x_{min}\) be the minimum value that \(x\) does not satisfy.

Input \(x_{min}^2+y+z\) as your answer.

There are 3 marks available for part (a) and 4 marks for part (b).
In total, this question is worth 9.72% of all available marks in the paper.

This is part of the set OCR A Level Problems.

Problem Loading...

Note Loading...

Set Loading...