BuyFind

Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071
BuyFind

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

Answer to Problem 31E

  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

To place: the correct symbol for 3_72 .

Expert Solution

Answer to Problem 31E

  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

To place: the correct symbol for 3.5_72 .

Expert Solution

Answer to Problem 31E

  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 .

Have a homework question?

Subscribe to bartleby learn! Ask subject matter experts 30 homework questions each month. Plus, you’ll have access to millions of step-by-step textbook answers!