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

Solve the inequality :
x2+3x4>0

A
(4,1)
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
(,4)(1,+)
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
(1,+)
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
no solutions
No worries! We‘ve got your back. Try BYJU‘S free classes today!
E
(,4][1,+)
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is B (,4)(1,+)
Finding the roots of the given equation as shown below:
x2+3x4>0
x2+4xx4>0
x(x+4)1(x+4)>0
(x+4)(x1)>0
Case-1:- Case-2:-
x1>0 and x+4>0 x1<0 and x+4<0
x>1 and x>4 x<1 and x<4
from above two we get from above two we get
x>1 (1) x<4 (2)

From (1) and (2)
x lies between (,4)(1,+).

Hence option B is correct.

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Solving QE using Quadratic Formula
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon