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

Solve the absolute value inequality 2×|3x+9|<36

A
- 9 > x > 3
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
- 9 < x < 3
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
x > - 9
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
x < 3
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is B - 9 < x < 3
2×|3x+9|<36
Divide both side by 2
2|3x+9|2<362

|3x+9|<18

Now, as we know that if |x|<a, then it means that a<x<a
Therefore, 18<3x+9<18
Subtract 9 from each side
189<3x+99<189
27<3x<9
Divide by 3 on each side
9<x<3

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