Solve the equation. Check for extraneous solutions.

|4x| = 28

|4x| = 28

**Absolute value is the distance away from zero.**

|4x| = 28

4x = 28 or 4x = -28 {the two numbers that are 28 away from zero are 28 and -28}

**x = 7 or x = -7**{divided each side by 4}

**Check. If it makes a false statement, then it is an extraneous solution.**

__Check 7:__

|4(7)| = 28

|28| = 28 {multiplied}

28 = 28 {true statement, so 7 is not extraneous}

__Check -7:__

|4(-7)| = 28

|-28| = 28 {multiplied}

28 = 28 {a true statement, so -7 is not extraneous}

*- Algebra House*