Solve inequality. |3n-2|-2<1

Mathematics · College · Tue Nov 03 2020

Answered on

Given the inequality:

|3n -2| -2 < 1

Solution:

In order to solve the inequality, we must take note of the absolute value sign denoted by | |, this means that any number inside the absolute value sign will result to a positive number. Hence negative number will become positive. 

|3n -2| -2 < 1

3n +2 -2 < 1

3n < 1

Divide 3 on both sides of the equation in order to get the value of n.

3n/3 < ⅓

n < ⅓

Final answer:

n < ⅓

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