Solve the compound inequality 4 less than 2x minus 8, which is less than or equal to 10.

1. A compound inequality can be solved by working on all three parts at once. 2. Add 8 to every part to undo the subtraction. 3. That turns 4 into 12, leaves 2x in the middle, and turns 10 into 18. 4. Now divide every part by 2. 5. That gives 6 on the left, x in the middle, and 9 on the right. 6. The left sign was strictly less than, so 6 is left out and takes a parenthesis. 7. The right sign was less than or equal to, so 9 is included and takes a bracket. 8. The solution is therefore the interval from 6 to 9, written (6, 9]. 9. The interval [6, 9) swaps the two endpoint symbols. 10. The interval (6, 18] forgets the final division by 2 on the right end. _Source: OpenStax College Algebra (CC BY 4.0), section 2.7 Linear Inequalities and Absolute Value Inequalities_