Let f be some function for which you know only that then If(x) – 5| < 0.1. if 0 < |x – 3| < 1, Which of the following statements are necessarily true? (a) If |x – 3| < 1, then | f (x) – 5| < 0.1. (b) If |x – 2.5| < 0.3, then | f (x) - 5| < 0.1. -

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section2.7: Combining Functions
Problem 5E: Let f and g be functions. (a) The function (f+g)(x) is defined for all values of x that are in the...
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I know that A is FALSE

I know that B is TRUE

I have had A explained, basically because x could be 3 and therefore doesn't follow the given. However, I don't understand why B is true. Could you explain that?

41. Let f be some function for which you know only that
then If(x) – 5| < 0.1.
if
0 < |x – 3| < 1,
Which of the following statements are necessarily true?
(a) If |x – 3| < 1, then | f (x) – 5| < 0.1.
(b) If |x – 2.5| < 0.3, then | f (x) – 5| < 0.1.
-
1oqbne ns tA
Transcribed Image Text:41. Let f be some function for which you know only that then If(x) – 5| < 0.1. if 0 < |x – 3| < 1, Which of the following statements are necessarily true? (a) If |x – 3| < 1, then | f (x) – 5| < 0.1. (b) If |x – 2.5| < 0.3, then | f (x) – 5| < 0.1. - 1oqbne ns tA
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