Question
Mathematics Question on Relations and functions
(x−1)(x2−5x+7)<(x−,1), then x belongs to
A
(1,2)∪(3,∞)
B
(−∞,1)∪(2,3)
C
(2,3)
D
none of these
Answer
(−∞,1)∪(2,3)
Explanation
Solution
Given that, $(x-1)\left(x^{2}-5 x+7\right)
(x−1)(x2−5x+7)<(x−,1), then x belongs to
(1,2)∪(3,∞)
(−∞,1)∪(2,3)
(2,3)
none of these
(−∞,1)∪(2,3)
Given that, $(x-1)\left(x^{2}-5 x+7\right)