# The statement “The symbol | x | stands for the _______ of the number x . If x is not 0, then the sign of | x | is always _____”. ### Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071 ### Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071

#### Solutions

Chapter 1.1, Problem 4E
To determine

## To fill: The statement “The symbol |x| stands for the _______ of the number x. If x is not 0, then the sign of |x| is always _____”.

Expert Solution

The symbol |x| stands for the absolute value of the number x. If x is not 0, then the sign of |x| is always positive.

### Explanation of Solution

The absolute value of the number x is represented by |x|.

If x is a real number then the absolute value of x is,

|x|={xifx0xifx<0

The absolute value gives the positive distance from 0.

Thus, the sign of absolute value is always positive.

Therefore, the symbol |x| stands for the absolute value of the number x. If x is not 0, then the sign of |x| is always positive.

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