Suggested languages for you:

Americas

Europe

Q. 10

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.

Recommended explanations on Math Textbooks

94% of StudySmarter users get better grades.