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  4. The least positive integral value of ' k ' for which ( x + k -1)( x -2 k -7)<0 ∀ x ∈[-1,2] is

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Q. The least positive integral value of ' $k$ ' for which $( x + k -1)( x -2 k -7)<0 \quad \forall x \in[-1,2]$ is

Complex Numbers and Quadratic Equations

Solution:

$f (-1)< 0 \& f (2)< 0$
$k \in(-\infty,-4) \cup(2, \infty)$