Compound Inequalities

Each of the problems below is a link. If you click on the problem, it will take you to a YouTube video of a full, step-by-step solution for the problem. You may try these problems as practice and use the videos to check your answer, or you can just watch the videos to see more worked-out example problems.

1. Graph the solution set to x is greater than 3 and x is less than or equal to 7 and express it in interval notation
2. Graph the solution set to x is greater than 3 and x is greater than or equal to 4 and express it in interval notation
3. Graph the solution set to 2x + 4 is less than 3 and 3x is greater than or equal to 12 and express it in interval notation
4. Graph the solution set to x is less than or equal to 2 or x is greater than 6 and express it in interval notation
5. Graph the solution set to x is less than or equal to 2 or x is less than 6 and express it in interval notation
6. Graph the solution set to 3x + 2 is greater than 8 or 4x minus 2 is less than or equal to 18 and express it in interval notation
7. Graph the solution set to 3 is less than or equal to x which is less than 5 and express it in interval notation
8. Graph the solution set to 5 is less than 2x minus 3 which is less than or equal to 9 and express it in interval notation
9. Graph the solution set to 4 is greater than 7 minus 3x which is greater than or equal to negative 11 and express it in interval notation
10. Graph the solution set to 10 is greater than 4x + 2 which is greater than or equal to negative 2 and express it in interval notation