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6th Edition

Stewart + 5 others

Publisher: Cengage Learning

ISBN: 9780840068071

Chapter 1.1, Problem 74E

**a)**

To determine

To find: the distance between the two numbers

Expert Solution

The distance between the two numbers is

**Given information:**

Two numbers are given as

**Formula used:**

Distance between two numbers a and b is given by

Absolute value property:

For any real number a,

**Calculation:**

Two numbers is

Distance between the numbers can be calculated as shown below:

Now, compare the distancewith

Now, by absolute value property:

Therefore,

Hence, distance between the numbers is

**b)**

To determine

To find: the distance between the two numbers

Expert Solution

The distance between the two numbers is

**Given information:**

Two numbers are given as

**Formula used:**

Distance between two numbers a and b is given by

Absolute value property:

For any real number a,

**Calculation:**

Two numbers is

Distance between the numbers can be calculated as shown below:

Now, compare the distance with

Now, by absolute value property:

Therefore,

Hence, distance between the numbers is 21 units.

**c)**

To determine

To find: the distance between the two numbers

Expert Solution

The distance between the two numbers is

**Given information:**

Two numbers are given as

**Formula used:**

Distance between two numbers a and b is given by

Absolute value property:

For any real number a,

**Calculation:**

Two numbers is

Distance between the numbers can be calculated as shown below:

Now, compare the distance with

Now, by absolute value property:

Therefore,

Hence, distance between the numbers is