Absolute value of 3x+2 less than 5 (|3x+2| < 5)

Statement

Solve the inequality $|3x+2|<5$.

Solution

It is of the type $|A|<B$ with $B=5>0$: it is equivalent to the double inequality $-5<3x+2<5 \iff -7<3x<3 \iff \boxed{-\frac73<x<1}.$

Links

Topics: Parabola
Concepts: Absolute value inequalities · Absolute value
Skills: Solving inequalities
Exercise type: Solving an inequality