# 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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### Inequalities/extracting data from RegionPlot

I've searched everywhere for this but can't seem to find a simple way to do this. I have defined a function of two variables and am able to plot a 2D region in the domain space - the endpoints of the ...
161 views

### Plotting, NDSolve, initial conditions from range, inequalities [closed]

I will do my best to describe the simplest version of my problem as clearly as I can. Please bear with me: We have a,b and c which are functions of x and y, and their t-evolution is given by coupled ...
83 views

### Make Reduce produce nicer output

I am trying to reduce a bunch of inequalities using the Reduce command in Mathematica. But the output is very convoluted and I am wondering if there's a way to systematically organize it so that I can ...
138 views

### Speedup of reduce function?

I tried to run this $15$ variable feasibility linear programming to see what the solution looks like. Unfortunately it is taking too much time on my laptop. Is there a way to speed it up? Any tips ...
508 views

### How to draw a tropical surface?

By definition, a tropical surface in $\mathbb R^3$ is the set of points $(x,y,z)$ where the maximum $f=\max(f_1,f_2,\dots,f_n)$ is attained at least twice, here $f_i$ stand for some linear functions ...
411 views

### Find all the closest positive integer solutions within a bound for a simple linear equation

Suppose I have a linear equation/inequality like $$xA+yB \leq C,$$ with $x,y \in \mathbb{Z}^{+}_{\neq 0}$ and $A,B,C \in \{x | x = 0.01\mu, \forall \mu \in \mathbb{Z}^+_{\neq0}\}$. I want to find ...
95 views

### Determining the domain of definition of x y z for an inequality that contains sin and cos?

I have the following expression: ...
58 views

### Test varying number of inequalities

I want to test a varying number of inequalities ...
173 views

### Solving a system of inequalities

I'm trying to solve a system of inequalities with $6$ variables using Reduce but it's taking a long time (at least 30 mins) and has not yet finished. ...
250 views

### Plot surface defined by inequality

I have an inequality which looks like 5 < x < 25 && 5 < y < 25 && z == 3 And I would like to plot this surface. However, ...
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### Volume of a 3D implicit region

To find the volume of the following region: ...
128 views

### Solving inequalities

I would like to solve this problem: ...
1k views

### Restrict 3D plot to region specified by an inequality

I would liked to plot a piece of the unit sphere surface within the region defined by $$x \geq y \geq z \geq 0$$ Plotting the region (RegionPlot3D) and the ...
150 views

### Unable to solve an inequality

I wanted to solve the inequality -1 < 3/2 π*Sin[αa]/αa + Cos[αa] < 1 for αa in range ...
105 views

### Solving an inequality with many parameters [closed]

I need to solve the below inequality for x. I am very new to Mathematica. Below syntax does not give me any output. Please help. ...
160 views

### Drawing convex cone with given vectors

I have vectors in matrix form. By using Mathematica, I want to draw it as convex cone and intersect. Let me explain, my intent is to create a new cone which is created by intersection of a null spaced ...
220 views

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### Patching removable singularities of a function

How can I make FunctionDomain include removable singularities? For instance, FunctionDomain[Sinc[x], x] == True But ...
226 views

### Unable to solve a simple inequality [duplicate]

I want to find the solutions for $$(4k+1)(2k)!\ge 10^6$$ I tried the expressions ...
165 views

### Get the inequalities from answers

I have two inequality. x1 >= x2 x1 >= x3 x1,x2,x3 ∈ {0,1} the answer of the Inequalities is (x1,x2,x3) ∈ {(0,0,0),(1,0,0),(1,1,0),(1,0,1)} How to get the Inequalities from our ...
67 views

### Why does my inequality require “AssumptionsMaxNonlinearVariables” -> 14?

I have the following code for simplifying an inequality: ...
246 views

### Reduce or Solve to solve 3 simultaneous equations/inequalities

I've tried both ways, and maybe it justtakes Mathematica a long time to solve this system of equations, but I can't tell if it is hung up or crunching. So, I'm wondering im y approach with ...
112 views

### Visualising set of inequalities

Is there any way to visualise a set of inequalities when there are 4 variables at play? Context: if we have inequalities involving two variables only, one can highlight the ensemble of points that ...