CAIE P1 2023 June — Question 2

Exam BoardCAIE
ModuleP1 (Pure Mathematics 1)
Year2023
SessionJune
TopicInequalities

2 The function f is defined for \(x \in \mathbb { R }\) by \(\mathrm { f } ( x ) = x ^ { 2 } - 6 x + c\), where \(c\) is a constant. It is given that \(\mathrm { f } ( x ) > 2\) for all values of \(x\). Find the set of possible values of \(c\).