How to solve |3x+6|>15?

Kamenemoj3q

Kamenemoj3q

Answered question

2023-02-18

How to solve | 3 x + 6 | > 15 ?

Answer & Explanation

Denisse Bray

Denisse Bray

Beginner2023-02-19Added 5 answers

The definition of the absolute value is:
| a | = a 888888 if and only if 88888 a 0
| a | = - a .888 if and only if 888888 a < 0
As a result, we must address both:
3 x + 6 > 15 and - ( 3 x + 6 ) > 15
I
3 x + 6 > 15
3 x > 9
x > 3
II
- ( 3 x + 6 ) > 15
3 x + 6 < - 15
3 x < - 21
x < - 7
This results in:
- < x < - 7
and
3 < x <
The following can be written as a union of intervals:
( - , - 7 ) ( 3 , )

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