Solving compound inequalities refers to solving inequalities that have two or more inequalities in them. These inequalities are a combination of two or more inequalities linked by the words “and” or “or”. In this process, we solve for the value of the variable that fits the inequality by using inverse operations but with more than one condition at a time. In these worksheets, students will solve the inequalities linked by “and” or “or”.

For example: Solve `–4>v–17≥–11` for `v`.

Write your answer as a compound inequality with integers.

Choices: `[[13 > v > 6][v > 13 or v ≤ 6][13 > v ≥ 6][v > 13 or v < 6]]`

Algebra 1

One-Variable Inequalities