Solve the inequality absolute value of 2x - 4 less than or equal to 6, in interval notation.

1. The absolute value expression is already isolated on the left. 2. A less-than absolute value becomes a single compound inequality between two bounds. 3. So write negative 6 less than or equal to 2x minus 4 less than or equal to 6. 4. Add 4 to all three parts to get negative 2 less than or equal to 2x less than or equal to 10. 5. Divide all three parts by 2, a positive number, so no sign reverses. 6. That gives negative 1 less than or equal to x less than or equal to 5. 7. Both endpoints satisfy the original, so both take brackets, giving [-1, 5]. 8. The interval [-5, 1] divides before adding and lands on the wrong pair of bounds. 9. The interval (-1, 5) excludes endpoints that the less-than-or-equal sign allows. 10. The interval [1, 5] drops the negative branch and keeps only half the solution. _Source: OpenStax Intermediate Algebra (CC BY 4.0), Ch 2 "Solving Linear Equations", section 2.7 Solve Absolute Value Inequalities_