Solve |x + 3| < -2

Step by step, with the reason for every step · Absolute value inequalities · Algebra 1

Step by step

Question: solve |x + 3| < −2.

|x + 3| < −2

The bars give how far from 0.

A distance is never negative.

| | is never negative

So it can never be less than −2.

There is no solution.

|x + 3| < −2 no solution

Answer

|x + 3| < −2 no solution