In definition 2.17 of Rudin's text, he says that a set E is convex if for any two points x and y belonging to E, (1−t)x+ty belongs to E when 0<t<1.(adsbygoogle = window.adsbygoogle || []).push({});

I learned that this means the point is between x and y. But I'm not able to see this intuitively. Can anyone help me "see" this?

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# Convex sets - How do we get (1−t)x+ty

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