Problem 9 (#2.2.16).Let A and B be sets. Show correctly that a) (A∩B)⊆A. b) A⊆(A∪B). c) A\B⊆A. d) A∩(B\A) = ∅. e) A∪(B\A) = A∪B.

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter1: Introduction To Algebra
Section1.4: Translating Words Into Symbols
Problem 2MRE
icon
Related questions
Question
Problem 9 (#2.2.16).Let A and B be sets. Show correctly that
a) (A∩B)⊆A.
b) A⊆(A∪B).
c) A\B⊆A.
d) A∩(B\A) = ∅.
e) A∪(B\A) = A∪B.
Expert Solution
steps

Step by step

Solved in 4 steps with 4 images

Blurred answer
Similar questions
Recommended textbooks for you
Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell
Elements Of Modern Algebra
Elements Of Modern Algebra
Algebra
ISBN:
9781285463230
Author:
Gilbert, Linda, Jimmie
Publisher:
Cengage Learning,