# 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.**