# Questions tagged [inequalities]

Questions about handling with inequalities with, e.g., Reduce, Solve, FindInstance etc., their application in defining Regions, and ways to incorporate them into other computations, e.g. integration.

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### Solving inequalities involving floor function

Why mathematica doesn’t solve this simple inequality ? Reduce[Floor[x/2]<10,x,Integers] It returns the error:Reduce::nsmet Is it related to floor function?How ...
33 views

### Find the condition under which an inequality holds

I've got an inequality of 8 non-negative parameters (arising from a 5x5 matrix) and would like to find a condition under which my inequality holds. The condition would be an inequality too of these ...
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### Solving Inequalities using Mathematica

How can I solve this inequality using Mathematica? Sqrt[B^2 + J^2] Cosh[(2 J)/T ] < J Sinh[ (2 Sqrt[B^2 + J^2])/T] where T, J, and B are reals and they are >...
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### Plotting a function with the domain restricted. Basic question

I'm trying to Plot a simple function on a restricted domain. I tried ListLinePlot[Table[x^2, {x, x>-3, x<3, 1}]]. This doesn't work. I'm not sure how to take ...
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### Verify an inequality of many parameters

I've got an inequality of 10 non-negative parameters (arising from a 5x5 matrix) and would like to verify whether it holds. I tried the following, which doesn't seem to work: ...
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### Define a Region where a disequation is satisfied for all values of a variable

I'm having a problem with Mathematica. I have a large and complicate system of 3 inequalities in 3 variables, let's call them x,y,z. Now, I can't use reduce to solve it exactly. There is a way to ...
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### LinearModelFit with the dependent variable given in intervals instead of exact values

I have data of the form $\{x_{i1},...,x_{ik},\{a_i,b_i\}\}$, $i=1,...,N$, and I want to find a function $f(x_1,...,x_k)$ (say, linear) such that violation of $a_i\le f(x_{i1},...,x_{ik})\le b_i$ for ...
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### How to Solve this specific inequality

I want to solve this inequality for l. I have tried to use Reduce and Solve and its not worked out. How can I solve this? ...
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### Solving inequality

I am trying to solve this inequality for $\eta$, where B, J, $\eta$, and $\beta$ are reals and $\beta$>0. I used ...
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### Getting values of 2 variables and a constant based on a single equation using a 3D graph

This is my function. ...
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### This system cannot be solved with the methods available to Reduce [closed]

I get the error message in the Title, which is not very helpful. Situation: Reduce[ForAll[{x,y,z},Implies[x<=y&&y<=z, x<=z]]] evaluates to True, ...
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### Setting the tolerance for Equal[] [duplicate]

I would like to control how Equal[] works and allow a certain error associated with it. I would like numerical values which are, say, within one-thousandth of one ...
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### Summation with inequalities

How can I perform this function with Mathematica? $$\sum_{1\le j<k\le N}\frac1{\left(r_{jk}\right)^\alpha}$$ where n = 5.
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### problem with solving inequality $x+1/x>-1+1/x$. different answer in Mathematica and Wolfram Alpha

I tried to solve inequality $x+1/x>-1+1/x$ with Wolfram Alpha, and it gave me the answer $(-1,0)\cup(0,+\infty)$. This is correct. But when I try to solve it in Wolfram Mathematica 12.0 (with ...
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### Inequality plot like Wolfram Alpha

I'd like to reproduce in Mathematica the output of this Wolfram Alpha query. Of course I can just use WolframAlpha but I'd like to manipulate the graphics (add ...
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### How would I plot the inequality lines together with the intersection plot of the inequalities?

For example, I've got the following code: Plot[{x >= 5, y >= 8, x + 2y <= 64, x + y <= 40}] This would plot: Now, this is fair enough. It shows me ...