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

Short Answer

Expert verified

The given statement is false.

Step by step solution

01

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.

02

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

If P and Q are two points on a real number line with coordinates aand 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.

03

Step 3. Conlusion.

The given statement is false.

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