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

kramtus51 2021-12-17 Answered
Solve absolute value inequality.
3|2x1|
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Expert Answer

vrangett
Answered 2021-12-18 Author has 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

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Jonathan Burroughs
Answered 2021-12-19 Author has 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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