Solve absolute value inequality. 3\le |2x-1|

kramtus51

kramtus51

Answered question

2021-12-17

Solve absolute value inequality.
3|2x1|

Answer & Explanation

vrangett

vrangett

Beginner2021-12-18Added 36 answers

Step 1
Given inequality
3|2x1|
Step 2
For,
32x1
42x
2x
Step 3
For,
3(2x1)
32x+1
22x
x1
Step 4
Thus, given inequality satisfies if
x1 or x2
Jonathan Burroughs

Jonathan Burroughs

Beginner2021-12-19Added 37 answers

Step 1
The given inequality is 3|2x1|
Step 2
Obtain the solution of the inequality as follows:
3|2x1|
2x13 or 2x13
2x2 or 2x4
x1 or x2
Thus, the solution of the inequality is (,1][2,)

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