Let T = {1, 2, 3, 4, 5, 6, 7, 8, 9}. If five integers are chosen from T, must there be two integers whose sum is 10? If the answer is yes, enter YES in the blank. If the answer is no, use set- roster notation to fill in the blank with a set of five numbers from T, no two of which have a sum of 10.

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.5: Permutations And Inverses
Problem 3E
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Let 1 = (1, 2, 3, 4, 5, 6, 7, 8, 9}. If five integers are chosen from T, must there be two
integers whose sum is 10?
If the answer is yes, enter YES in the blank. If the answer is no, use set-
roster notation to fill in the blank with a set of five numbers from T, no two
of which have a sum of 10.
Transcribed Image Text:Let 1 = (1, 2, 3, 4, 5, 6, 7, 8, 9}. If five integers are chosen from T, must there be two integers whose sum is 10? If the answer is yes, enter YES in the blank. If the answer is no, use set- roster notation to fill in the blank with a set of five numbers from T, no two of which have a sum of 10.
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