Solve absolute value inequality. 4+|3-x/3|\geq 9

Krzychau1

Krzychau1

Answered question

2021-12-17

Solve absolute value inequality.
4+|3x3|9

Answer & Explanation

stomachdm

stomachdm

Beginner2021-12-18Added 33 answers

Step 1
Given inequality ,
4+|3x3|9
|3x3|94
|3x3|5
After removing modulus function, we get two cases.
3x35...(1)
And,
3x35...(2)
Step 2
Case 1 −
3x35
9x35
9x3×5
9x15
915x
x6...(3)
Case 2 −
3x35
9x35
9x15
9+15x
x24...(4)
From equation (3) and (4),
x=(,6][24,)
Linda Birchfield

Linda Birchfield

Beginner2021-12-19Added 39 answers

Step 1
Given: 4+|3x3|9
|3x3|5
|9x|15
Step 2
|x9|15
x915 or x915
x6 or x24
(,6][24,).

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