The least positive integral value of ' k ' for which ( x + k -1)( x -2 k -7)

Question

The least positive integral value of ' k ' for which ( x + k -1)( x -2 k -7)<0 ∀ x ∈[-1,2] is (A) 1 (B) 2 (C) 3 (D) 4

Tardigrade Admin · Accepted Answer

f (-1)< 0 f (2)< 0 k ∈(-∞,-4) ∪(2, ∞)

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