Mathematical statement that two values are not equal
"≠" redirects here. Not to be confused with ‡ or ǂ.
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In mathematics, an inequation is a statement that an inequality holds between two values.[1][2] 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. Some examples of inequations are:
In some cases, the term "inequation" can be considered synonymous to the term "inequality",[3] while in other cases, an inequation is reserved only for statements whose inequality relation is "not equal to" (≠).[2]
^Thomas H. Sidebotham (2002). The A to Z of Mathematics: A Basic Guide. John Wiley and Sons. p. 252. ISBN 0-471-15045-2.
^ abWeisstein, Eric W. "Inequation". mathworld.wolfram.com. Retrieved 2019-12-03.
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...
since equality is symmetric. More generally, these terms may apply to an inequation or inequality; the right-hand side is everything on the right side of...
statuses within a group Equality (disambiguation) Equal (disambiguation) Inequation (≠) List of countries by wealth inequality List of countries by income...
{\displaystyle =} ), as in 5 x 2 + 6 x = 3 y + 4 {\displaystyle 5x^{2}+6x=3y+4} . Inequations are formed with symbols like the less-than sign ( < {\displaystyle <}...
sentences with the intention of "almost the same". The symbol used to denote inequation (when items are not equal) is a slashed equal sign ≠ (U+2260). In LaTeX...
{\displaystyle c<0} then b c < a c {\displaystyle bc<ac} . By reversing the inequation, < {\displaystyle <} and > {\displaystyle >} can be swapped, for example:...
code review itself. To solve the input problem, we take refuge in the inequation z m i n ≤ x + y ≤ z m a x {\displaystyle z_{min}\leq x+y\leq z_{max}}...
then the lack of balance corresponds to an inequality represented by an inequation). In the illustration, x, y and z are all different quantities (in this...
certain variables that will satisfy specific mathematical equations and inequations / equalities. They are also used when the goal is to find a variable...
literature to be below 0.03 1/K. Mathematically this may be expressed by an inequation, ∂(fS)/∂T < 0.03 (1/K) - where K stands for Kelvin degrees - could be...
solutions (optimal in some sense) of linear systems that include also inequations. Thus systems of linear Diophantine equations are basic in this context...
{\displaystyle A\ } is algebraically closed if any finite set of equations and inequations that are applicable to A {\displaystyle A\ } have a solution in A ...
space of dimension n such whose coordinates satisfy the equations and inequations f ( x 1 , x 2 ) = 0 g 0 ( x 1 , x 2 ) ≠ 0 x 3 = g 3 ( x 1 , x 2 ) g 0...
such that P ∧ Q ∧ x ≤ P {\displaystyle P\land Q\land x\leq P} . This inequation is satisfied for any x, so the largest such x is 1. Furthermore, the rule...
(mathematics) – Relationship asserting that two quantities are the same Inequation – Mathematical statement that two values are not equal Inequality (mathematics) –...
autoreduced and coherent set of differential equations A {\textstyle A} and a inequation set H Ω ⊇ H A {\textstyle H_{\Omega }\supseteq H_{A}} with set H Ω {\textstyle...
and theoretical computer science, a set constraint is an equation or an inequation between sets of terms. Similar to systems of (in)equations between numbers...
einer zahlentheoretischen Ungleichung" [Proof of a number theoretical inequation], Journal für die reine und angewandte Mathematik (in German), 177: 193–196...
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