Compound Inequality

Definition of Compound Inequality

• Compound inequality is two or more simple inequalities joined by the terms 'and' or 'or'.

Examples of Compound Inequality

•   is an example of compound inequality which says that x is either 0, or 4, or any number between 0 and 4.
• x > 5 and x < 11 is a compound  inequality which says that x takes values greater than 5 and less than 11.
•   is a compound inequality which says that the values of y are either less than - 13 or greater than or equal to 10.

Solved Example on Compound Inequality

Choose a compound inequality that represents the set of all real numbers less than or equal to - 7 or greater than or equal to 5.

Choices:

A.

B.
C.
D.

Correct Answer: D

Solution:

Step 1: The algebraic model for the statement is .

Step 2:The graph of this compound inequality is shown below. Notice that the graph has two parts. One part lies to the left of -7. The other part lies to the right of 5.

Related Terms for Compound Inequality

• Inequality

Additional Links for Compound Inequality

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