# the expression | | − 6 | − | − 4 | | .

### 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 67E

(a)

To determine

## To evaluate: the expression ||−6|−|−4|| .

Expert Solution

||6||4||=2

### Explanation of Solution

Given information:

An expression is given as ||6||4|| .

Formula used:

Absolute value property:

For any real number a,

|a|=a0|a|=|a|=a

Calculation:

Consider the given expression.

||6||4||

Now, evaluate the expression:

||6||4||=|64| [|a|=|a|=a]=|2|=2

Hence, ||6||4||=2

(b)

To determine

Expert Solution

1|1|=1

### Explanation of Solution

Given information:

An expression is given as 1|1| .

Formula used:

Absolute value property:

For any real number a,

|a|=a0|a|=|a|=a

Calculation:

Consider the given expression.

Now, evaluate the expression:

1|1|=11 [|a|=|a|=a]=1

Hence, 1|1|=1 .

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