how to solve compound inequalities

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.

How do you know if inequality is AND or OR?

If it is a conjunction that uses the word and, the solution must work in both inequalities and the solution is in the overlap region of the graph. If it is a disjunction that uses the word or, the solution must work in either one of the equations.

What is an OR compound inequality look like?

A compound inequality is a sentence with two inequality statements joined either by the word “or” or by the word “and.” “And” indicates that both statements of the compound sentence are true at the same time. It is the overlap or intersection of the solution sets for the individual statements.

What is a compound inequality in math?

A compound inequality is an inequality that combines two simple inequalities.

What are 3 possible solutions for the inequality?

Summary. Many simple inequalities can be solved by adding, subtracting, multiplying or dividing both sides until you are left with the variable on its own.

What are the two types of compound inequalities?

There are two types of compound inequalities. They are conjunction problems and disjunction problems. These compound inequalities will sometimes appear as two simple inequalities separated by using the word AND or OR. When solving “and/or” compound inequalities, begin by solving each inequality individually.

What is an inequality solution?

A “solution” of an inequality is a number which when substituted for the variable makes the inequality a true statement. Here is an example: Consider the inequality. When we substitute 8 for x, the inequality becomes 8-2 > 5. Thus, x=8 is a solution of the inequality.