Solve absolute value inequality.1<|2 - 3x|



Answered question


Solve absolute value inequality. 1<|2 - 3x|

Answer & Explanation

Linda Birchfield

Linda Birchfield

Beginner2021-12-14Added 39 answers

Step 1
The inequality sign in our problem is greater than or equal to the sign, so we will set up a compound inequality with the word "or"
2-3x>1 or 2-3x<-1...(1)
Step 2
solving the equation (1) we have
2-3x > 1 or 2-3x < -1
2-1>3x or 2+1<3x
1>3x or 3<3x
13>x or 1<x

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