Draw the Venn diagram or sets A, B, and C.

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.1: Sets
Problem 37E: Prove or disprove that AB=AC implies B=C.
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c) Draw the Venn diagram or provide area numbers for the following combination of the
sets A, B, and C.
(АөВ) — С
BC
OR
The shaded areas are:.
d) Construct a membership table for the following combination of the sets A, B, and C.
(An C) n [A – (Bn C)]
А В с area
11 1
10
0 1
(An C) BnC A – (B n C) | (AnC) n [A – (B n C)]
1
1
1
1 1
10
0 1
e) Use part a) and b) to determine which relationship, s, =, 2 or # works best for the
pair of sets.
Your answer:
(АӨВ) — С
(An C) n [A – (B n C)]
Transcribed Image Text:c) Draw the Venn diagram or provide area numbers for the following combination of the sets A, B, and C. (АөВ) — С BC OR The shaded areas are:. d) Construct a membership table for the following combination of the sets A, B, and C. (An C) n [A – (Bn C)] А В с area 11 1 10 0 1 (An C) BnC A – (B n C) | (AnC) n [A – (B n C)] 1 1 1 1 1 10 0 1 e) Use part a) and b) to determine which relationship, s, =, 2 or # works best for the pair of sets. Your answer: (АӨВ) — С (An C) n [A – (B n C)]
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