Inequality vs. Inequation

An unfair, not equal, state.

Example: ‘The inequality in living standards led to a civil war as the have nots rebelled.’;

(mathematics) A statement that of two quantities one is specifically less than (or greater than) another. Symbol: < or \leq or > or \geq or \ne, as appropriate.

Example: ‘The inequality x is less than y, together with that y<z< math>, allows us to deduce the inequality x<z< math>.’;</p>

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.

Example: ‘There is so great an inequality in the length of our legs and arms as makes it impossible for us to walk on all four.’; ‘Notwithstanding which inequality of number, it was resolved in a council of war to fight the Dutch fleet.’; ‘Sympathy is rarely strong where there is a great inequality of condition.’;

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.

Example: ‘The country is cut into so many hills and inequalities as renders it defensible.’;

Variableness; changeableness; inconstancy; lack of smoothness or equability; deviation; unsteadiness, as of the weather, feelings, etc.

Example: ‘Inequality of air is ever an enemy to health.’;

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 (

An irregularity, or a deviation, in the motion of a planet or satellite from its uniform mean motion; the amount of such deviation.

lack of equality;

Example: ‘the growing inequality between rich and poor’;

difference in size, degree, circumstances, etc.; lack of equality

Example: ‘social inequality’; ‘the widening inequalities in income’;

lack of smoothness or regularity in a surface

Example: ‘the inequality of the ground hindered their footing’;

the relation between two expressions that are not equal, employing a sign such as ≠ ‘not equal to’, > ‘greater than’, or < ‘less than’.

a symbolic expression of the fact that two quantities are not equal.

(mathematics) A statement that two expressions are not the same.

An inequality.

In mathematics, an inequation is a statement that an inequality holds between two values. It is usually written in the form of a pair of expressions denoting the values in question, with a relational sign between them indicating the specific inequality relation.