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Can inequalities never intersect

Updated: 8/19/2019
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13y ago

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The graphs of inequalities often intersect. Let's look at a simple one.

x<5 and x>4. The intersection is all x such that x>4 and x<5

or those numbers between 4 and 5 not including 4 and 5 itself.

If I want to include 4 and 5, just change it to < or = instead of strict

inequality.

Sometimes there is not an intersection. For example, x < 4 and x > 4, or x < -4 and x > 5, ... .

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13y ago
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Q: Can inequalities never intersect
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When is system of linear inequalities have no solution?

When the lines never intersect, usually when they are parallel.


Lines never intersect?

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In Euclidean geometry, parallel lines never intersect. They go this way forever and never intersect but watch this typing. _______________ _______________ In non-Euclidean geometry, they intersect when the faces are uneven.


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