Compound Inequalities Math

When solving compound inequalities we use some of the same methods used in solving multi step inequalities.

Compound inequalities math. There are two types of compound inequalities. 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. When the inequality is graphed on the number line only the overlapping points are shown demonstrating the area that both statements are true. Compound inequalities with or.

In mathematics an inequality is a relation which makes a non equal comparison between two numbers or other mathematical expressions. A compound inequality is a combination of two or more inequalities joined by either an and or an or in mathematics most often we deal with equalities two statements that must. In set theory terms the intersection of x 2 and x 9 is the correct solution. It is the overlap or intersection of the solution sets for the individual statements.

Compound inequalities watch the next lesson. Because we are multiplying by a negative number the inequalities change direction. 6 x 3. Suppose that the compound inequalities are x 2 or x 9.

Now multiply each part by 1. Compound inequality a compound inequality is a statement in which two inequalities are connected by the word and or the word or. And that is the solution. 6 x 3.

How to solve and graph compound inequalities in mathematics it can be useful limit the solution or even have multiple solutions for an inequality. For example you get two solutions after solving a particular linear inequality x 3 and x 12. For this we use compound inequalities inequalities with multiple inequality signs. A compound inequality consists of two or more inequalities.

For example x 5 and x 7 and x 1 or x 7 are examples of compound inequalities when the word that connects both inequalities is and the solution is any number that makes both inequalities true. Compound inequalities joined by the word and and compound inequalities joined by the word or example 6 x 2. You can read it as 3. There are several different notations used to represent different kinds of inequalities.

X 6 and x. This can also be written as the following and is represented by the number line below. It is used most often to compare two numbers on the number line by their size.