Let Z be the set of all integers and Q be the set of all rational numbers and R be the set of all real numbers, A=(20, 100], B (90, 150], C {70, 100, 200}, D (10, 30) and E= {x € Z: x=7 (mod 10)}. Find: (1) (Z-Q) and specified in it using the most concise notation. (ii) (A-(D-B)) specified using interval notation. (iii) ((A-B)UC-D) specified using set builder notation without any word (iv) The power set P(C) of C by listing down the elements directly. (v) (E-A) specified using the most concise set builder notation without any word.
Let Z be the set of all integers and Q be the set of all rational numbers and R be the set of all real numbers, A=(20, 100], B (90, 150], C {70, 100, 200}, D (10, 30) and E= {x € Z: x=7 (mod 10)}. Find: (1) (Z-Q) and specified in it using the most concise notation. (ii) (A-(D-B)) specified using interval notation. (iii) ((A-B)UC-D) specified using set builder notation without any word (iv) The power set P(C) of C by listing down the elements directly. (v) (E-A) specified using the most concise set builder notation without any word.
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.4: Binary Operations
Problem 12E
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Let Z be the set of all integers and Q be the set of all rational numbers and R be the set of all real numbers, A=(20, 100], B (90, 150], C {70, 100, 200}, D (10, 30) and E= {x € Z: x=7 (mod 10)}.
Find:
(1) (Z-Q) and specified in it using the most concise notation.
(ii) (A-(D-B)) specified using interval notation.
(iii) ((A-B)UC-D) specified using set builder notation without any word
(iv) The power set P(C) of C by listing down the elements directly.
(v) (E-A) specified using the most concise set builder notation without any word.
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