Chapter 2.4, Problem 14Q

a.

To determine

To graph:

Inequalities hat represents requirements.

Explanation of Solution

Graph:

For $x\ge 100$ inequality:

  

For $x\ge 5$ inequality:

  

For $x\ge 10$ inequality:

  

Interpretation:

Graph shows three inequalities which represents the requirements are:

Swim at least $100yards$

1. :

  $x\ge 100$

Tread water for at least $5minutes$

1. :

  $x\ge 5$

Swim $10yards$

1. or more underwater without taking a breath.

  $x\ge 10$

b.

To determine

To identify:

Given inequalities satisfy the requirement of course or not.

Answer to Problem 14Q

Given inequalities do not satisfy the requirement of course.

Explanation of Solution

Given information:

Man Swim $250ft$ for $6\min$ .

Man Swim $35ft$ underwater without taking breath.

Calculation:

It is known that,

  $1yard=3ft$

So, divide $250ft$ by $3ft$ ,

  $\frac{250}{3}=83.\overline{3}$

And divide $35ft$ by $3ft$ ,

  $\frac{35}{3}=11.\overline{6}$

Swim distance is too short, man can swim $83.\overline{3}yards$ and need to be able to go $100yards$ .

Thus, Given inequalities do not satisfy the requirement of course.