$\"\"$

Let $\"\"$ be the number of hours writing, and let $\"\"$ be the number of hours exercising.

Ramir budgeted $\"\"$ hours per week to write a novel and to exercise.

The inequality is $\"\"$ .

He wants to exercise at least $\"\"$ hours a week but no more than $\"\"$ .

The inequality is $\"\"$ .

He also hopes to write between $\"\"$ and $\"\"$ hours per week.

The inequality is $\"\"$ .

The system of inequalities are $\"\"$ , $\"\"$ and $\"\"$ .

Graph:

Graph the system of inequalities are $\"\"$ , $\"\"$ and $\"\"$ .

$\"\"$

Observe the graph:

The region shaded in brown colour is the intersection of inequalities $\"\"$ , $\"\"$ and $\"\"$ .

$\"\"$

Graph of the inequalities are $\"\"$ , $\"\"$ and $\"\"$ is

$\"\"$ .