Compound Inequality Math Definition Example

The solution of an and inequality is the intersection of each individual inequality in the sentence.

Compound inequality math definition example. In mathematics an inequality is a relation which makes a non equal comparison between two numbers or other mathematical expressions. Now multiply each part by 1. But to be neat it is better to have the smaller number on the left larger on the right. Since this compound inequality has no connecting word written it is understood to be and it is translated into the following compound sentence.

In the previous section we studied the subtleties of and and or intersection and union and looked at some simple compound inequalities. 9 x indicates all the numbers to the right of and including 9 and x 1 indicates all the numbers to the left of and including 1. In this section we build on those fundamentals and turn our attention to more intricate examples. Kim has a ph d.

6 x 3. We now turn our attention to the business of solving compound inequalities. Explain compound inequality with an example. Or when two inequalities are joined with and they are often written simply as a double inequality like.

It is used most often to compare two numbers on the number line by their size. Compound inequality inequality is an algebraic expression that consists of looking for the result for the variable presented. These are the compound inequalities that contains the word or. Now divide each part by 2 a positive number so again the inequalities don t change.

In our last lesson we solved compound inequalities that involved the word and. For example you get two solutions after solving a particular linear inequality x 3 and x 12. In education and has taught math courses at four colleges. And that is the solution.

In this lesson we are going to solve the other type of compound inequality that is called a disjunction. 12 2 x 6 8. There are several different notations used to represent different kinds of inequalities. A compound inequality is an equation with two or more inequalities joined together with either and or or for example and.

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 inequality a compound inequality is a statement in which two inequalities are connected by the word and or the word or. Compound inequalities explanation examples compound inequalities are the derived form of inequalities which are very useful in mathematics whenever you are dealing with a range of possible values. You can read it as 3.

A compound inequality is simply the combination of two or more inequalities. Definition examples 3 44.