Prove that if A C P([n]) is intersecting then there is an intersecting family BC P((n]) such that |B| = 2"-1 and A C B. (Hint: given A consider how you can add sets to A while keeping the family intersect- ing

Prove that if A C P([n]) is intersecting then there is an intersecting family BC P((n]) such that |B| = 2"-1 and A C B. (Hint: given A consider how you can add sets to A while keeping the family intersect- ing

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter2: Parallel Lines

Section2.CT: Test

Problem 3CT: To prove a theorem of the form "If P, then Q" by the indirect method, the first line of the proof...

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Question

Prove that if AC P([n]) is intersecting then there is an intersecting
family BC P([n]) such that |B| = 2"-1 and ACB. (Hint: given A
consider how you can add sets to A while keeping the family intersect-
ing.)

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