A 16. Let x be a rational number and y be an irrational number. Which informal proof uses an indirect method to determine if the sum of an irrational number and a rational number is always an irrational number? O 1. Let +y =. where z is rational 2. y== -x 3. y is irrational, and :-x is rational, which is a contradiction 4. Therefore, the sum is an irrational number O 1. Let +y where z is irrational 2. x==-y 3. x is rational, and =-y is irrational, which is a contradiction 4. Therefore, the sum is a rational number O 1. Let +y=. where z is rational 2. x==-y 3. x is rational, and =-y is rational 4. Therefore, the sum is a rational number O 1. Let +y=. where z is irrational 2. y==-x 3. y is irrational, and =-x is irrational 4. Therefore, the sum is an irrational number

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter11: Rational And Irrational Numbers
Section11.1: Properties Of Rational Numbers
Problem 36WE
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O 16. Let x be a rational number and y be an irrational number. Which informal proof uses an indirect method to determine if the sum of an irrational number and a rational number is
always an irrational number?
O 1. Let +y =. where z is rational
2. y== -x
3. y is irrational, and :-x is rational, which is a contradiction
4. Therefore, the sum is an irrational number
O 1. Let +y where z is irrational
2. x==-y
3. x is rational, and =-y is irrational, which is a contradiction
4. Therefore, the sum is a rational number
O 1. Let +y=. where z is rational
2. x ==-y
3. x is rational, and =-y is rational
4. Therefore, the sum is a rational number
O 1. Let +y=. where z is irrational
2. y==-x
3. y is irrational, and :-x is irrational
4. Therefore, the sum is an irrational number
A 17. What
the definition of horizontal asymptote for an exponential function?
O The place where the function crosses the z-axis.
O The vertical line that the function approaches but never crosses.
O The horizontal line that the function approaches but never crosses.
O The place where the function crosses the y-axis.
Transcribed Image Text:O 16. Let x be a rational number and y be an irrational number. Which informal proof uses an indirect method to determine if the sum of an irrational number and a rational number is always an irrational number? O 1. Let +y =. where z is rational 2. y== -x 3. y is irrational, and :-x is rational, which is a contradiction 4. Therefore, the sum is an irrational number O 1. Let +y where z is irrational 2. x==-y 3. x is rational, and =-y is irrational, which is a contradiction 4. Therefore, the sum is a rational number O 1. Let +y=. where z is rational 2. x ==-y 3. x is rational, and =-y is rational 4. Therefore, the sum is a rational number O 1. Let +y=. where z is irrational 2. y==-x 3. y is irrational, and :-x is irrational 4. Therefore, the sum is an irrational number A 17. What the definition of horizontal asymptote for an exponential function? O The place where the function crosses the z-axis. O The vertical line that the function approaches but never crosses. O The horizontal line that the function approaches but never crosses. O The place where the function crosses the y-axis.
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