PRECALCULUS:GRAPHICAL,...-W/ACCESS
PRECALCULUS:GRAPHICAL,...-W/ACCESS
10th Edition
ISBN: 9780134781945
Author: Demana
Publisher: PEARSON
Expert Solution & Answer
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Chapter P.2, Problem 52E
Solution

Write the given statement using absolute value notation.

  y−c>d

Given information:

Statement is:

“ y is more than d units from c .”

Formula used:

  1. Absolute value is representation on either side of the expression given by two parallel line.

    2. Absolute value x means:

      x=x if x is positive−x if x is negative

    For example, if the distance between x and y is a this is represented by absolute value notation as:

      x−y=a

  2. a less than b is represented as:

    3.   a<b

Calculation:

To write the given statement using absolute value notation first note that for any x :

  x=x if x is positive−x if x is negative

Now, note that according to the given statement y is more than d units from c to represent this mathematically first note that the distance of y from c is represented as:

  y−c, or −y−c

In absolute value it is represented as:

  y−c

Since, given y is more than d units from c , i.e. above is more than d , i.e.

  y−c>d

Thus, the absolute value notation of the given statement is:

  y−c>d

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Chapter P.2, Problem 51E
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Chapter P.2, Problem 53E

Chapter P Solutions

PRECALCULUS:GRAPHICAL,...-W/ACCESS

Ch. P.1 - Prob. 1QRCh. P.1 - Prob. 2QRCh. P.1 - Prob. 3QRCh. P.1 - Prob. 4QRCh. P.1 - Prob. 5QRCh. P.1 - Prob. 6QRCh. P.1 - Prob. 7QRCh. P.1 - Prob. 8QRCh. P.1 - Prob. 9QRCh. P.1 - Prob. 10QR
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