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

tripiverded9 2021-12-10 Answered
Solve absolute value inequality :
|3(x1)|+220
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Expert Answer

lalilulelo2k3eq
Answered 2021-12-11 Author has 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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