The quality of being unequal; difference, or lack of equality, in any respect; lack of uniformity; disproportion; unevenness; disparity; diversity; as, an inequality in size, stature, numbers, power, distances, motions, rank, property, etc.

Unevenness; lack of levelness; the alternate rising and falling of a surface; as, the inequalities of the surface of the earth, or of a marble slab, etc.

Disproportion to any office or purpose; inadequacy; competency; as, the inequality of terrestrial things to the wants of a rational soul.

An expression consisting of two unequal quantities, with the sign of inequality (> or 1.

The unequal distribution of goods, resources, privilege, and power among social groups.

A relation of the form g(x) = 0 or g(x) = 0. This appears in the standard form as constraints. With equality allowed, these are called weak inequalities; strict inequalities are g(x) 0 and g(x) 0. Here are particular inequalities in this glossary: Cauchy-Schwarz Hadamard Hölder Jensen Kantorovich Minkowski Triangle Also see variational inequality.

"an equation written with a greater than, a less than sign, or a NOT equal to sign" Example: 5 + x ‹ 10

a mathematical sentence that includes one of the symbols , , or the symbols for greater than or equal to, less than or equal to, or not equal.

A mathematical equation containing either a greater than, less than or not equal to symbols.

A mathematical statement that one expression is greater than or less than the other. For example: x y means that x is greater than y; and x y means that x is less than y

State or condition of being unequal. Amartya Sen argues that virtually all political philosophies ‘want equality of something — something that has an important place in the particular theory’ (Sen 1992: ix). Libertarians want equal rights; others demand equal welfare or incomes. Inequalities are commonly used to construct images of the world. Two types of inequality are noted in this atlas: i) international inequality, that is inequality between nations, commonly measured by comparing GNP/capita; ii) national inequality, meaning differences between rich and poor within one country.

A systematic departure from the mean value of a tidal quantity. See diurnal inequality, parallax inequality, and phase inequality.

A mathematical expression which shows that two quantities are not equal.

Inequalities (,â‰¤,=,â‰¥,) specify an ordinal relation between two items, i.e. that one item is different from (or equal to) the other item. Because inequalities specify an order between items, they are sometimes referred to as ordinal relations. There are eleven ways to use inequalities, depending on the type of the two items related by it. Note that the type of an inequality from A to B is considered the same type (i.e. has the same number) as an inequality from B to A.

lack of equality; "the growing inequality between rich and poor"

a statement that two quantities are unequal in one of the five ways listed above

A mathematical sentence in which the value of the expressions on either side of the relation symbol are unequal. Relation symbols include , , , , or (e.g., x y, 7 3, n

A mathematical sentence that contains a symbol; such as, , , , , or = and in which the terms on either side of the symbol are unequal. (e.g., x y, 7 3, n 4).

An algebraic expression that uses one of the relations "greater than," "less than," "greater than or equal to," or "less than or equal to" to state a relationship between the values of two expressions. The solutions of inequalities are intervals.

A mathematical sentence that contains a symbol that shows the terms on either side of the symbol are unequal (EXAMPLE: 3+46).

An expression with two unequal values separated by a less-than or greater-than sign, like 4

any mathematical sentence that compares two expressions using one of the symbols , , ³, £, or ¹.

4 is greater than 4 3 is greater than or equal to 2 is less than 2 5 is less than or equal to Some properties of inequalities: If , then: when c 0- - when c 0 for any a We may use these properties to solve inequalities like we solve equations. Solve x -2 (solution)

a sentence that states one expression is greater than, greater than or equal to, less than, less than or equal to, or not equal to, another expression (e.g., a 5 or x 7).

A mathematical sentence with one of the following symbols: , .

a sentence that states one expression is greater than, greater than or equal too, less than, less than or equal to, or not equal to, another expression (e.g., 7 or 5 x a ).

An inequality is a mathematical expression that contains an inequality symbol. The inequality symbols are : less than (12) greater than (21) â‰¤ less than or equal to â‰¥ greater than or equal to â‰ not equal to (1â‰ 2).

(K) A number sentence stating that two quantities are not equal, or might not be equal. Relation symbols for inequalities include: (not equal), (less than), (greater than), (less than or equal), (greater than or equal). Example: 3 10; 2 + 5 4 + 4

A relationship between two quantities indicating that one is strictly less than or less than or equal to the other. A mathematical statement containing one of the symbols: ,,=, = or neqto indicate the relationship between two quantities.

a mathematical statement that says that two quantities are not equal. A number sentence with ,, or .

An expression that shows that two amounts are not equal.

In mathematics, an inequality is a statement about the relative size or order of two objects.