Solving Linear Inequalities in One Variable

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 of 3x + 2 is less than or equal to 8 and then express it in interval notation
2. Graph the solution set of negative 8x is less than negative 56 and then express it in interval notation
3. Graph the solution set of negative 27 is greater than 8t minus 3 and then express it in interval notation
4. Graph the solution set of 5a + 2 is greater than or equal to 2a minus 25 and then express it in interval notation
5. Graph the solution set of 2t minus 19 is greater than 7t + 6 and then express it in interval notation
6. Graph the solution set of 3x + 2 is greater than or equal to negative left paren x minus 2 right paren and then express it in interval notation
7. Graph the solution set of x halves minus 3 is less than x thirds minus 7 halves and then express it in interval notation
8. Graph the solution set of y halves + 3 fourths is greater than y fifths minus 3 tenths and then express it in interval notation