How to graph and solve |2x+4|<8?

brizgney58z

brizgney58z

Answered question

2023-02-27

How to graph and solve | 2 x + 4 | < 8 ?

Answer & Explanation

Rory Hess

Rory Hess

Beginner2023-02-28Added 10 answers

(1) 2 x + 4 0 x - 2 the absolute bars have no effect:
2 x + 4 < 8 x < 2
These two logically imply that - 2 x < 2
(2) 2 x + 4 0 x - 2 the absolute bars flip the signs
- 2 x - 4 < 8 now add 2 x + 4 on both sides:
0 < 8 + 2 x + 4 now subtract 12 :
- 12 < 2 x - 6 < x x > - 6
So - 6 < x - 2
By combining the two numbers, the result is:
- 6 < x < 2
graph{|2x+4| [-13.53, 11.78, -2.08, 10.58]}

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?