Solve each of the inequalities. |3x+1|>10

Priscilla Johnston

Priscilla Johnston

Answered question

2021-12-08

Solve each of the inequalities.
|3x+1|>10

Answer & Explanation

Melissa Moore

Melissa Moore

Beginner2021-12-09Added 32 answers

Step 1
The given inequality: |3x+1|>10
Step 2
According to the absolute value inequalities :
If |x| If |x|>p, then x>p or x<-p
Step 3
Consider |3x+1|>10
3x+1>10 or 3x+1<10 [Using (2)]
3x>101 or 3x<101 [Subtract 1 from both sides]
3x>9 or 3x<11
x>3 or 3x<113 [Divide both sides by 3]
Step 4
The required solution: x>3 or 3x<113.

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