Solve the following Absolute Value Inequality: |\frac{4x-6}{2}|\geq 3 a. 0\le x\le

Painevg

Painevg

Answered question

2021-12-09

Solve the following Absolute Value Inequality: |4x62|3
a. 0x3
b.0x3
c.x0orx3
d.x0andx3

Answer & Explanation

Edward Patten

Edward Patten

Beginner2021-12-10Added 38 answers

Step 1
We have inequality: |4x62|3
|2x3|3
Solving this absolute value:
We know either: 2x33 Or 2x33
Solving possibility 1:
2x33
Adding 3 to both sides,
We get: 2x3+33+3
2x6
Dividing both sides by 2,
x3
Step 2
Solving possibility 2:
2x33
Adding 3 to both sides,
We get: 2x3+33+3
2x0
Dividing both sides by 2,
x0
Therefore, x3 or x0.

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?