Solving Compound Inequalities - Algebra 1 - Math Planet

Algebra 1 / Linear inequalities / Solving compound inequalities Do excercises Show all 3 exercises

• Compound inequality I
• Compound inequality II
• Compound inequality III

A compound inequality contains at least two inequalities that are separated by either "and" or "or".

The graph of a compound inequality with an "and" represents the intersection of the graph of the inequalities. A number is a solution to the compound inequality if the number is a solution to both inequalities. It can either be written as x > -1 and x < 2 or as -1 < x < 2.

The graph of a compound inequality with an "or" represents the union of the graphs of the inequalities. A number is a solution to the compound inequality if the number is a solution to at least one of the inequalities. It is written as x < -1 or x > 2

Video lesson

Solve and graph the linear inequality

$$-10 < 2 + x < -1$$

Do excercises Show all 3 exercises

• Compound inequality I
• Compound inequality II
• Compound inequality III

More classes on this subject Algebra 1 Linear inequalities: Solving linear inequalities Algebra 1 Linear inequalities: Linear inequalities in two variables

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LINEAR INEQUALITIES – Solving absolute value equations and inequalities Search

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