CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

The interval(s) of x which satisfy the inequality (13x)7(1+5x)4(x+5)6(x21)(x6)3(12x)4>0 is/are

A
(5,1)
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
(15,13)
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
(1,6)
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 options are
B (15,13)
C (1,6)
(13x)7(1+5x)4(x+5)6(x21)(x6)3(12x)4>0
Making coefficient of x positive
(3x1)7(1+5x)4(x+5)6(x21)(x6)3(2x1)4<0
Sign changes only for odd powers
(3x1)7(1+5x)4(x+5)6(x1)(x+1)(x6)3(2x1)4<0

Critical points are
{5,1,15,13,12,1,6}


x(1,13)(1,6){15}

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
Join BYJU'S Learning Program
CrossIcon