Compound Inequality

Q1: What are Compound Inequalities?

Answer:

If two inequalities are combined using the “AND” or “OR” condition then it is called the compound inequality. We can understand it by the following example x > 3 AND x < 9. In this, we can say that all the values that are greater than 3 and less than 9 are answers to the above inequalities.

Q2: What are examples of Compound Inequality?

Answer:

Some examples of compound inequalities are,

• -17 < -4x – 2 ≤ 15
• 2x > 13 AND x < 9
• x>-3 OR 2x-4<5

Q3: How to Solve Compound Inequalities?

Answer:

Compound inequalities are solved separately and then the following changes are done,

• If the inequality is compounded by the AND condition we take the Intersection of both answers.
• If the inequality is compounded by the OR condition we take the Union of both answers.

Q4: What is Compound Inequality Graph?

Answer:

The compound inequalities graph is the graph that are drawn using the inequalities and the common region of all the inequalities is the required region of the compound inequalities.

Q5: What does AND/OR mean in compound inequality?

Answer:

In compound inequality AND/OR is used to define the intersection and union of the inequality.

• If we have to take the intersection of two or more inequality we use AND condition
• If we have to take the union of two or more inequality we use OR condition

Q6: What are the Applications of Compound Inequality?

Answer:

Various examples where the concept of compound inequalities is used are,

• In maximising profit.
• In maximising the output under the given condition.
• In reducing the transportation cost, etc.

Compound Inequalities are the combination of two or more inequalities. These inequalities are combined using two conditions that are AND, and OR. These conditions have specific meanings and they are solved differently. The inequities in compound inequalities are individually solved using normal rules but the combinations of their answers depend on the AND and OR conditions. So, let’s start learning about the concept of compound inequalities including their solutions and various other solved examples as well.