Yes or No? If No, give a reason. Assume that a and b arenonzero real numbers.6. (a) Is the sum of two rational numbers always a rationalnumber?(b) Is the sum of two irrational numbers always an irrationalnumber?7. (a) Is a  b equal to b  a?(b) Is 21a  52 equal to 2a  10?8. (a) Is the distance between any two different real numbersalways positive?(b) Is the distance between a and b the same as the distancebetween b and a?

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
ChapterP: Prerequisites
SectionP.2: Real Numbers
Problem 6E
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Yes or No? If No, give a reason. Assume that a and b are
nonzero real numbers.
6. (a) Is the sum of two rational numbers always a rational
number?
(b) Is the sum of two irrational numbers always an irrational
number?
7. (a) Is a  b equal to b  a?
(b) Is 21a  52 equal to 2a  10?
8. (a) Is the distance between any two different real numbers
always positive?
(b) Is the distance between a and b the same as the distance
between b and a?

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