Compound Inequality Math Definition

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 math definition. Intersection of inequalities when we see a statement like 0 x 4 also written as 0 x and x 4 or as x. A compound inequality is the combination of two or more inequalities. It is used most often to compare two numbers on the number line by their size. Or when two inequalities are joined with and they are often written simply as a double inequality like.

Compound inequalities are the derived form of inequalities which are very useful in mathematics whenever you are dealing with a range of possible values. In mathematics an inequality is a relation which makes a non equal comparison between two numbers or other mathematical expressions. It is the overlap or intersection of the solution sets for the individual statements. The solution of an and inequality is the intersection of each individual inequality in the sentence.

The set of all values which satisfy either inequality is the set of all points which satisfy one or the other or both this includes the overlap. For example you get two solutions after solving a particular linear inequality x 3 and x 12. Compound inequality two or more inequalities taken together. 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. An inequality compares two values showing if one is less than greater than or simply not equal to another value. 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. A b says that a is not equal to b a b says that a is less than b a b says that a is greater than b those two are known as strict inequality a b means that a is less than or equal to b.

Often this refers to a connected chain of inequalities such as 3 x 5. The feasible regions of linear programming are defined by a set of inequalities. Compound inequalities explanation examples. According to the site math planet a compound inequality contains at least two inequalities that are separated by either and or or in the case of and a compound inequality such as x 1.

Compound inequality a compound inequality is a statement in which two inequalities are connected by the word and or the word or. 0 x 4 the compound inequality or the word and denotes the intersection of the two sets of numbers which satisfy each.