given the following: A = {x ∈N : x2 ≤ 50}, B = {x ∈Z : −7 3 ≤ x < 4}, C = {x ∈R : |x| < 2} and D = {x : x is prime numbers less than or equal to 30}. Find (i) A∩B (ii) A∪B (iii) A∩C (iv) B∩D

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.6: Matrices
Problem 5TFE
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given the following:

A = {x ∈N : x2 ≤ 50}, B = {x ∈Z : −7 3 ≤ x < 4}, C = {x ∈R : |x| < 2} and D = {x : x is prime numbers less than or equal to 30}.

Find
(i) A∩B

(ii) A∪B

(iii) A∩C

(iv) B∩D

(v) A∪D

(vi) (A−C)∪(D−B)

(vii) B−C

(viii) (A∩B)∪(B∩C)

 

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