Solve absolute value inequality : |3(x-1)|+2\le 20

tripiverded9

tripiverded9

Answered question

2021-12-10

Solve absolute value inequality :
|3(x1)|+220

Answer & Explanation

lalilulelo2k3eq

lalilulelo2k3eq

Beginner2021-12-11Added 38 answers

Step 1
Given inequality is
|3(x1)|+220
Step 2
|3(x1)|+220
Subtract 2 from both sides,
|3(x1)|+22202
|3(x1)|18
We know, if |x|a, then axa or xa and xa
Hence, given inequality becomes,
183(x1)18
Divide all sides by 3,
1833(x1)3183
6x16
Add 1 on all sides,
6+1x1+16+1
5x7
Hence, the solution is x7 and x5.

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