Inequalities | Elementary algebra | Mathematical terminology
In mathematics, an inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions. It is used most often to compare two numbers on the number line by their size. There are several different notations used to represent different kinds of inequalities: * The notation a < b means that a is less than b. * The notation a > b means that a is greater than b. In either case, a is not equal to b. These relations are known as strict inequalities, meaning that a is strictly less than or strictly greater than b. Equivalence is excluded. In contrast to strict inequalities, there are two types of inequality relations that are not strict: * The notation a ≤ b or a ⩽ b means that a is less than or equal to b (or, equivalently, at most b, or not greater than b). * The notation a ≥ b or a ⩾ b means that a is greater than or equal to b (or, equivalently, at least b, or not less than b). The relation not greater than can also be represented by a ≯ b, the symbol for "greater than" bisected by a slash, "not". The same is true for not less than and a ≮ b. The notation a ≠ b means that a is not equal to b; this inequation sometimes is considered a form of strict inequality. It does not say that one is greater than the other; it does not even require a and b to be member of an ordered set. In engineering sciences, less formal use of the notation is to state that one quantity is "much greater" than another, normally by several orders of magnitude. * The notation a ≪ b means that a is much less than b. * The notation a ≫ b means that a is much greater than b. This implies that the lesser value can be neglected with little effect on the accuracy of an approximation (such as the case of ultrarelativistic limit in physics). In all of the cases above, any two symbols mirroring each other are symmetrical; a < b and b > a are equivalent, etc. (Wikipedia).
Solving and Graphing an inequality when the solution point is a decimal
👉 Learn how to solve multi-step linear inequalities having parenthesis. An inequality is a statement in which one value is not equal to the other value. An inequality is linear when the highest exponent in its variable(s) is 1. (i.e. there is no exponent in its variable(s)). A multi-step l
From playlist Solve and Graph Inequalities | Multi-Step With Parenthesis
Solving and graphing a linear inequality
👉 Learn how to solve multi-step linear inequalities having no parenthesis. An inequality is a statement in which one value is not equal to the other value. An inequality is linear when the highest exponent in its variable(s) is 1. (i.e. there is no exponent in its variable(s)). A multi-ste
From playlist Solve and Graph Inequalities | Multi-Step Without Parenthesis
Easy way to solve and graph an inequality with a variable on both sides
👉 Learn how to solve multi-step linear inequalities having no parenthesis. An inequality is a statement in which one value is not equal to the other value. An inequality is linear when the highest exponent in its variable(s) is 1. (i.e. there is no exponent in its variable(s)). A multi-ste
From playlist Solve and Graph Inequalities | Multi-Step Without Parenthesis
Learn how to solve a multi step inequality and graph the solution
👉 Learn how to solve multi-step linear inequalities having parenthesis. An inequality is a statement in which one value is not equal to the other value. An inequality is linear when the highest exponent in its variable(s) is 1. (i.e. there is no exponent in its variable(s)). A multi-step l
From playlist Solve and Graph Inequalities | Multi-Step With Parenthesis
Solving and graphing an inequality
👉 Learn how to solve multi-step linear inequalities having parenthesis. An inequality is a statement in which one value is not equal to the other value. An inequality is linear when the highest exponent in its variable(s) is 1. (i.e. there is no exponent in its variable(s)). A multi-step l
From playlist Solve and Graph Inequalities | Multi-Step With Parenthesis
Solving and graphing a multi-step inequality
👉 Learn how to solve multi-step linear inequalities having parenthesis. An inequality is a statement in which one value is not equal to the other value. An inequality is linear when the highest exponent in its variable(s) is 1. (i.e. there is no exponent in its variable(s)). A multi-step l
From playlist Solve and Graph Inequalities | Multi-Step With Parenthesis
Solving a linear inequality with fractions
👉 Learn how to solve multi-step linear inequalities having no parenthesis. An inequality is a statement in which one value is not equal to the other value. An inequality is linear when the highest exponent in its variable(s) is 1. (i.e. there is no exponent in its variable(s)). A multi-ste
From playlist Solve and Graph Inequalities | Multi-Step Without Parenthesis
This is a basic introduction to Minkowski's inequality, which has many applications in mathematics. A simple case in the Euclidean space R^n is discussed with a proof provided.
From playlist Mathematical analysis and applications
Rodrigo Bañuelos: "Events of Small Probabilities Do Happen"
Latinx in the Mathematical Sciences Conference 2018 "Events of Small Probabilities Do Happen" Rodrigo Bañuelos, Purdue University Institute for Pure and Applied Mathematics, UCLA March 9, 2018 For more information: http://www.ipam.ucla.edu/programs/special-events-and-conferences/latinx-
From playlist Latinx in the Mathematical Sciences 2018
Rethinking pedagogy for second order differential equations via the Uber metric
New mathematical / pedagogical research http://dx.doi.org/10.1080/0020739X.2017.1298856 For over 50 years, the learning of teaching of a priori bounds on solutions to linear differential equations has involved a Euclidean approach to measuring the size of a solution. While the Euclidean a
From playlist Research in Mathematics
Changfeng Gui: Some New Inequalities in Analysis and Geometry
17 November 2022 Changfeng Gui, University of Texas at San Antonio Abstract: The classical Trudinger-Moser inequality is a borderline case of Sobolev inequalities and plays an important role in geometric analysis and PDEs in general. Aubin in 1979 showed that the best constant in the Trud
From playlist SMRI Seminars
Solving and graphing an inequality with infinite many solutions
👉 Learn how to solve multi-step linear inequalities having parenthesis. An inequality is a statement in which one value is not equal to the other value. An inequality is linear when the highest exponent in its variable(s) is 1. (i.e. there is no exponent in its variable(s)). A multi-step l
From playlist Solve and Graph Inequalities | Multi-Step With Parenthesis
Melchior Wirth: "From Entropic Curvature Bounds to Logarithmic Sobolev Inequalities"
Entropy Inequalities, Quantum Information and Quantum Physics 2021 "From Entropic Curvature Bounds to Logarithmic Sobolev Inequalities" Melchior Wirth - Institute of Science and Technology Austria (IST Austria), Department of Mathematics and Computer Science Abstract: One central questio
From playlist Entropy Inequalities, Quantum Information and Quantum Physics 2021
Inequalities and more limits | Real numbers and limits Math Foundations 107 | N J Wildberger
The epsilon-delta definition of a limit of a sequence, going back to Cauchy and Weierstrass, is here dramatically simplified by restricting attention to the basic objects of calculus: rational polynumbers (or ``rational functions''). We review the basic definition and give a visual interpr
From playlist Math Foundations
How to solve math inequalities
Free ebook http://tinyurl.com/EngMathYT A simple example of how to solve inequalities in mathematics. Such ideas are seen in high school and university mathematics.
From playlist A first course in university mathematics
Mathematica Tutorial 45 - Inequalities and Absolute Value
In this Mathematica tutorial you will learn about inequalities, their meaning, and how to solve simple inequalities, including those inequalities which contain an absolute value. The Wolfram website: https://www.wolfram.com/mathematica/ *** SUBSCRIBE FOR MORE VIDEOS *** Never miss a
From playlist Mathematica Tutorials
Mathematical Induction - Base case above 1 (3 of 3: Additional method)
More resources available at www.misterwootube.com
From playlist Further Proof by Mathematical Induction
Symmetry and symmetry breaking: Rigidity and flows in elliptic PDEs – Maria Esteban – ICM2018
Partial Differential Equations | Mathematics in Science and Technology Invited Lecture 10.5 | 17.5 Symmetry and symmetry breaking: Rigidity and flows in elliptic PDEs Maria Esteban Abstract: The issue of symmetry and symmetry breaking is fundamental in all areas of science. Symmetry is o
From playlist Partial Differential Equations
Solving an inequality with a parenthesis on both sides
👉 Learn how to solve multi-step linear inequalities having parenthesis. An inequality is a statement in which one value is not equal to the other value. An inequality is linear when the highest exponent in its variable(s) is 1. (i.e. there is no exponent in its variable(s)). A multi-step l
From playlist Solve and Graph Inequalities | Multi-Step With Parenthesis