# To state: whether the inequality − 6 &lt; − 10 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 33E

(a)

To determine

## To state: whether the inequality −6<−10 is true or false.

Expert Solution

6<10 is false.

### Explanation of Solution

Given information:

An inequality as 6<10 .

Formula used:

For two numbers a and b

a<b if a>b

Calculation:

Consider the given inequality.

6<10

Now, it is known that 6<10 .

Multiply both sides by (1) .

6(1)<10(1)6>10

Hence, the inequality 6<10 is false.

(b)

To determine

### To state: whether the inequality 2>1.41 is true or false.

Expert Solution

2>1.41 is true.

### Explanation of Solution

Given information:

An inequality as 2>1.41 .

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.

2>1.41

Now, it is known that 2=1.414... .

Now, 1.41 can be written as 1.410

Further 4 is numerically greater than 0.

So, 1.414...>1.410

Hence, the inequality 2>1.41 is true.

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