wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

Largest interval in which the inequality (x+3)(2+x)(x1)(x5)>x2+5x+6x26x+5 is true?

A
(3,1)
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
(2,5)
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
(1,5)
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D
(5,)
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is D (1,5)
|x2+5x+6x26x+5|>x2+5x+6x26x+5 holds true only when x2+5x+6x26x+5<0
Hence,
x2+5x+6x26x+5<0
(x+3)(x+2)(x1)(x5)<0
It is possible when
x ϵ(3,2)and(1,5)

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Extrema
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon