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  2. Inequality (mathematics) - Wikipedia

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

    For instance, to solve the inequality 4x < 2x + 1 ≤ 3x + 2, it is not possible to isolate x in any one part of the inequality through addition or subtraction. Instead, the inequalities must be solved independently, yielding x < ⁠ 1 / 2 ⁠ and x ≥ −1 respectively, which can be combined into the final solution −1 ≤ x < ⁠ 1 / 2 ⁠.

  3. Linear inequality - Wikipedia

    en.wikipedia.org/wiki/Linear_inequality

    Two-dimensional linear inequalities are expressions in two variables of the form: + < +, where the inequalities may either be strict or not. The solution set of such an inequality can be graphically represented by a half-plane (all the points on one "side" of a fixed line) in the Euclidean plane. [2]

  4. Inequation - Wikipedia

    en.wikipedia.org/wiki/Inequation

    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.

  5. Relaxation (iterative method) - Wikipedia

    en.wikipedia.org/wiki/Relaxation_(iterative_method)

    [1] Relaxation methods were developed for solving large sparse linear systems, which arose as finite-difference discretizations of differential equations. [2] [3] They are also used for the solution of linear equations for linear least-squares problems [4] and also for systems of linear inequalities, such as those arising in linear programming.

  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 ...

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