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2. Linear inequality - Wikipedia

   en.wikipedia.org/wiki/Linear_inequality

   A linear programming problem seeks to optimize (find a maximum or minimum value) a function (called the objective function) subject to a number of constraints on the variables which, in general, are linear inequalities. [6] The list of constraints is a system of linear inequalities.

3. Inequality (mathematics) - Wikipedia

   en.wikipedia.org/wiki/Inequality_(mathematics)

   When solving inequalities using chained notation, it is possible and sometimes necessary to evaluate the terms independently. For instance, to solve the inequality 4 x < 2 x + 1 ≤ 3 x + 2, it is not possible to isolate x in any one part of the inequality through addition or subtraction.

4. Farkas' lemma - Wikipedia

   en.wikipedia.org/wiki/Farkas'_lemma

   In mathematics, Farkas' lemma is a solvability theorem for a finite system of linear inequalities. It was originally proven by the Hungarian mathematician Gyula Farkas . [ 1 ] Farkas' lemma is the key result underpinning the linear programming duality and has played a central role in the development of mathematical optimization (alternatively ...

5. Inequation - Wikipedia

   en.wikipedia.org/wiki/Inequation

   Similar to equation solving, inequation solving means finding what values (numbers, functions, sets, etc.) fulfill a condition stated in the form of an inequation or a conjunction of several inequations. These expressions contain one or more unknowns, which are free variables for which values are sought that cause the condition to be fulfilled ...

6. List of inequalities - Wikipedia

   en.wikipedia.org/wiki/List_of_inequalities

   Grunsky's inequalities; Hanner's inequalities; Hardy's inequality; Hardy–Littlewood inequality; Hardy–Littlewood–Sobolev inequality; Harnack's inequality; Hausdorff–Young inequality; Hermite–Hadamard inequality; Hilbert's inequality; Hölder's inequality; Jackson's inequality; Jensen's inequality; Khabibullin's conjecture on integral ...

7. Minnesota Parents Who Locked Their Kids in Cages for ‘Their ...

   www.aol.com/minnesota-parents-locked-kids-cages...

   A Minnesota couple has reportedly been sentenced to four years after they locked their children in cages for "their safety." Benjamin and Christina Cotton from Red Wing, were sentenced by a ...