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

• 0 ≤ x ≤ 4 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.
• y < - 13 or y ≥ 10 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. x ≤ - 7 or x > 5
B. x < - 7 or x ≥ 5
C. x < - 7 or x > 5
D. x ≤ - 7 or x ≥ 5
Correct Answer: D
Solution:
Step 1: The algebraic model for the statement is x ≤ - 7 or x ≥ 5.
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.

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Related Terms for Compound Inequality

• Inequality

Additional Links for Compound Inequality

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