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n lectures we learnt about writing sets using dummy variables satisfying certain conditions, perhaps vith some operation applied to the dummy variables. For example, {x €N : 3|x} s the set of natural numbers divisible by 3, and {x? : x € Z} s the set of square integers. Nrite each of the following sets using conditions in this way. (a) {2,4,8, 16, 32, ...}. (b) {-2,4, –8, 16, –32, ...}. -b+ yb - 4ac -b- V - 4ac (c) =}. (Assume that a, b, c are real numbers satisfying a + 0 and 2a 2a b² – 4ac > 0.) (d) The open interval in R with endpoints 1 and 3. (e) The possible lengths of the hypotenuse of a right-angled triangle in which the short sides add up to 10. (1) The possible numbers of Chicken McNuggets you can buy. (Chicken McNuggets come in boxes of 6, 9 or 20; so for example you can buy 26 of them (20 + 6) but you can't buy 25.)

n lectures we learnt about writing sets using dummy variables satisfying certain conditions, perhaps vith some operation applied to the dummy variables. For example, {x €N : 3|x} s the set of natural numbers divisible by 3, and {x? : x € Z} s the set of square integers. Nrite each of the following sets using conditions in this way. (a) {2,4,8, 16, 32, ...}. (b) {-2,4, –8, 16, –32, ...}. -b+ yb - 4ac -b- V - 4ac (c) =}. (Assume that a, b, c are real numbers satisfying a + 0 and 2a 2a b² – 4ac > 0.) (d) The open interval in R with endpoints 1 and 3. (e) The possible lengths of the hypotenuse of a right-angled triangle in which the short sides add up to 10. (1) The possible numbers of Chicken McNuggets you can buy. (Chicken McNuggets come in boxes of 6, 9 or 20; so for example you can buy 26 of them (20 + 6) but you can't buy 25.)

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
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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In lectures we learnt about writing sets using dummy variables satisfying certain conditions, perhaps with some operation applied to the dummy variables. For example, {x €N : 3|x} is the set of natural numbers divisible by 3, and {x? : x€ Z} is the set of square integers. Write each of the following sets using conditions in this way. (a) {2, 4,8, 16, 32, ...}. (b) {-2,4, –8, 16, –32, ...}. -b+ yb? - 4ac -b - Vb – 4ac (c) }. (Assume that a, b, c are real numbers satisfying a 40 and 2a 2a b2 – 4ac > 0.) (d) The open interval in R with endpoints 1 and 3. (e) The possible lengths of the hypotenuse of a right-angled triangle in which the short sides add up to 10. (1) The possible numbers of Chicken McNuggets you can buy. (Chicken McNuggets come in boxes of 6, 9 or 20; so for example you can buy 26 of them (20 + 6) but you can't buy 25.)
Transcribed Image Text:In lectures we learnt about writing sets using dummy variables satisfying certain conditions, perhaps with some operation applied to the dummy variables. For example, {x €N : 3|x} is the set of natural numbers divisible by 3, and {x? : x€ Z} is the set of square integers. Write each of the following sets using conditions in this way. (a) {2, 4,8, 16, 32, ...}. (b) {-2,4, –8, 16, –32, ...}. -b+ yb? - 4ac -b - Vb – 4ac (c) }. (Assume that a, b, c are real numbers satisfying a 40 and 2a 2a b2 – 4ac > 0.) (d) The open interval in R with endpoints 1 and 3. (e) The possible lengths of the hypotenuse of a right-angled triangle in which the short sides add up to 10. (1) The possible numbers of Chicken McNuggets you can buy. (Chicken McNuggets come in boxes of 6, 9 or 20; so for example you can buy 26 of them (20 + 6) but you can't buy 25.)
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