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plurals

PO
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Id
6798047
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0
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0
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2
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CreationDate
2011-07-23T03:30:15.867
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0
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2011-07-23T03:45:36.323
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2011-07-23T03:45:36.323
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421225
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421225
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6797651
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2
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6
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text
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Here's an ugly solution using <code>RegionPlot</code>. Open limits are represented using dotted lines and closed limits with full lines <pre><code>numRegion[expr_, var_Symbol:x, range:{xmin_, xmax_}:{0, 0}, opts:OptionsPattern[]] := Module[{le=LogicalExpand[Reduce[expr,var,Reals]], y, opendots, closeddots, max, min, len}, opendots = Cases[Flatten[le/.And|Or->List], n_<var|n_>var|var<n_|var>n_:>n]; closeddots = Cases[Flatten[le/.And|Or->List], n_<=var|n_>=var|var<=n_|var>=n_:>n]; {max, min} = If[TrueQ[xmin < xmax], {xmin, xmax}, {Max, Min}@Cases[le, _?NumericQ, Infinity] // Through]; len = max - min; RegionPlot[le && -1 < y < 1, {var, min-len/10, max+len/10}, {y, -1, 1}, Epilog -> {Thick, Red, Line[{{#,1},{#,-1}}]&/@closeddots, Dotted, Line[{{#,1},{#,-1}}]&/@opendots}, Axes -> {True,False}, Frame->False, AspectRatio->.05, opts]] </code></pre> An example reducing an absolute value: <pre><code>numRegion[Abs[x] < 2] </code></pre> <img src="https://i.stack.imgur.com/pOwo6.png" alt="example 1"> Can use any variable: <pre><code>numRegion[0 < y <= 1 || y >= 2, y] </code></pre> <img src="https://i.stack.imgur.com/5GfC5.png" alt="example 2"> <code>Reduce</code>s extraneous inequalities, compare the following: <pre><code>GraphicsColumn[{numRegion[0 < x <= 1 || x >= 2 || x < 0], numRegion[0 < x <= 1 || x >= 2 || x <= 0, x, {0, 2}]}] </code></pre> <img src="https://i.stack.imgur.com/6d7ox.png" alt="example 3">
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1. This table or related slice is empty.
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1. POPlotting a number line in Mathematica
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1. USSimon
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1. USSimon
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2. VO
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1. CONice approach +1
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2. COWow, that's impressive.
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