Let U = {x: x is an integer and 2 < x < 10}. In each of the following cases, find A, B and determine whether A C B,B C A, both or neither: i. A = {x: 2x + 1> 7}, B = {x: x² > 20}. ii. A = {x: x2 - 3x + 2 = 0}, B = {x:x + 7 is a perfect square}. %3D .

Algebra and Trigonometry (6th Edition)
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ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Let U = {x: x is an integer and 2 < x < 10}. In each of the
following cases, find A, B and determine whether A C B, BCA, both or
neither:
i. A = {x: 2x +1 > 7}, B = {x: x² > 20}.
ii. A = {x:x2 – 3x + 2 = 0}, B = {x:x + 7 is a perfect square}.
Transcribed Image Text:Let U = {x: x is an integer and 2 < x < 10}. In each of the following cases, find A, B and determine whether A C B, BCA, both or neither: i. A = {x: 2x +1 > 7}, B = {x: x² > 20}. ii. A = {x:x2 – 3x + 2 = 0}, B = {x:x + 7 is a perfect square}.
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