# To state: whether the inequality − π &gt; − 3 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 35E

(a)

To determine

## To state: whether the inequality −π>−3 is true or false.

Expert Solution

π>3 is false.

### Explanation of Solution

Given information:

An inequality as π>3 .

Formula used:

For two numbers a and b

a<b if a>b

Calculation:

Consider the given inequality.

π>3

Now, it is known that π>3 as π=3.14...

Multiply both sides by (1) .

π(1)>3(1)π<3

Hence, the inequality π>3 is false.

(b)

To determine

Expert Solution

89 is false.

### Explanation of Solution

Given information:

An inequality as 89 .

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.

89

It is obvious that 9 is always strictly greater than 8.

As on number line 9 is place at the right side of 8.

Hence, the inequality 89 is false.

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