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Q. 10

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Precalculus Enhanced with Graphing Utilities
Found in: Page 14
Precalculus Enhanced with Graphing Utilities

Precalculus Enhanced with Graphing Utilities

Book edition 6th
Author(s) Sullivan
Pages 1200 pages
ISBN 9780321795465

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Short Answer

True or False The distance between two points is sometimes a negative number.

The given statement is false.

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Step by Step Solution

Step 1. Given information.

The given statement is:

The distance between two points is sometimes a negative number.

We need to check whether the given statement is true or false.

Step 2. Determine whether the statement is true or false.

If P and Q are two points on a real number line with coordinates a and b, respectively, the distance between P and Q, denoted by d(P,Q), is:

d(P,Q)=b-a

The modulus sign represents that the distance between two points is always a positive number and it cannot be a negative number.

Step 3. Conlusion.

The given statement is false.

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