# To place: the correct symbol for 3 _ 7 2 . ### 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 31E

(a)

To determine

## To place: the correct symbol for 3   _72 .

Expert Solution

3<72

### Explanation of Solution

Given information:

Two numbers are given as 3 and 72 .

Formula used:

For two fractions ab and cd .

ab<cd if a<c,b=d

For two fractions ab and cd .

ab>cd if a>c,b=d

For two fractions ab and cd .

ab=cd if a=c,b=d

Calculation:

Consider the given numbers.

3 and 72

Now, multiply numerator and denominator of 3 by 2.

3=3×21×2=62

Here, for 62 and 72 ,

6<7

Hence, 62<72

Therefore, 3<72 .

(b)

To determine

Expert Solution

3>72

### Explanation of Solution

Given information:

Two numbers are given as 3 and 72 .

Formula used:

For two fractions ab and cd .

ab<cd if a<c,b=d

For two fractions ab and cd .

ab>cd if a>c,b=d

For two fractions ab and cd .

ab=cd if a=c,b=d

Calculation:

Consider the given numbers.

3 and 72

Now, multiply numerator and denominator of 3 by 2.

3=3×21×2=62

Here, for 62 and 72 ,

6<7

Hence, 62<72

Therefore, 3<72 .

So, 3>72

(c)

To determine

Expert Solution

3.5=72

### Explanation of Solution

Given information:

Two numbers are given as 3.5 and 72 .

Formula used:

For two fractions ab and cd .

ab<cd if a<c,b=d

For two fractions ab and cd .

ab>cd if a>c,b=d

For two fractions ab and cd .

ab=cd if a=c,b=d

Calculation:

Consider the given numbers.

3.5 and 72

Now, multiply numerator and denominator of 3.5 by 2.

3.5=3.5×21×2=72

Here, for 72 and 72 ,

7=7

Hence, 72=72

Therefore, 3.5=72 .

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