Which of the following sets are empty sets? (a) {x | x is a real number and x^2-1 = 0} (b) {x | x is a real number and x^2+1 = 0} (c) {x | x is a real number and x^2 = -9} (d) {x | x is a real number and x = 2x + 1} (e) {x | x is a real number and x = x + 1}

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.4: Fractional Expressions
Problem 61E
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Which of the following sets are empty sets?

(a) {x | x is a real number and x^2-1 = 0}
(b) {x | x is a real number and x^2+1 = 0}
(c) {x | x is a real number and x^2 = -9}
(d) {x | x is a real number and x = 2x + 1}
(e) {x | x is a real number and x = x + 1}

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