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Expert-verified Found in: Page 14 ### Precalculus Enhanced with Graphing Utilities

Book edition 6th
Author(s) Sullivan
Pages 1200 pages
ISBN 9780321795465 # True or False The distance between two points is sometimes a negative number.

The given statement is false.

See the 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 $d\left(P,Q\right)$, is:

$d\left(P,Q\right)=\left|b-a\right|$

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. ### Want to see more solutions like these? 