# To state: whether the inequality 1.1 &gt; 1. 1 ¯ is true or false. ### 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 36E

(a)

To determine

## To state: whether the inequality 1.1>1.1¯ is true or false.

Expert Solution

1.1>1.1¯ is false.

### Explanation of Solution

Given information:

An inequality as 1.1>1.1¯ .

Formula used:

For two numbers a and b

a>b if the digit after decimal places of a is numerically greater than digits after decimal place of b.

Calculation:

Consider the given inequality.

1.1>1.1¯

Now, it is known that 1.1¯=1.111... .

Now, 1.1 can be written as 1.10

Further 1 is numerically greater than 0.

So, 1.111...>1.1

Hence, the inequality 1.1>1.1¯ is false.

(b)

To determine

Expert Solution

88 is false.

### Explanation of Solution

Given information:

An inequality as 88 .

Concept used:

If two numbers are numerically equal to each other then one cannot be greater or less than the other number.

Calculation:

Consider the given inequality.

88

It is obvious that 8 is always strictly equal to 8.

So, 8 cannot be less than 8.

Hence, the inequality 88 is false.

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