\"\"

\

The average daily cost \"\" is given by \"\".

\

Find how many bicycles must be produced each day for the average cost to be no more than \"\".

\

Write the inequality related situation in the problem.

\

\"\".

\

Solve the rational inequality \"\" .

\

\"\"

\

\"\"

\

\"\"

\

\"\"

\

The inequality is \"\".

\

 Determine the real zeros ( \"\"-intercepts of the graph )of \"\" and the real numbers for which \"\" is undefined.

\

The zeroes of the function are the values of \"\" for which \"\".

\

THe function is \"\"

\

The zeroes of \"\" is \"\".

\

A rational function is undefined when denominator is zero.

\

\"\" is undefined for \"\".

\

Use the zeros and undefined values found in Step 1 to divide the real number line into intervals.

\

Denominator of the function should not be zero.

\

\"\"

\

The function is defined for all values of \"\" except at  \"\".

\

The function intervals are \"\".

\

Select a number in each interval, evaluate \"\" at the number, and determine whether \"\" is positive or negative.

\

If \"\" is positive, all values of \"\" in the interval are positive. If \"\" is negative, all values of \"\" in the interval are negative.

\

\"\".

\

The real zero of numerator is \"\" and the real zeros of denominator \"\".

\

\

So the real zeros are divide the \"\"-axis into three intervals.

\

\

\"\"

\

The function intervals are \"\", \"\", and \"\" .

\

\

Choosing a number for \"\" in each interval and evaluating \"\".

\ \
\ \
\ \
\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \
Interval \

\"\"

\
\

\

\"\"

\
Conclusion
\

\"\"

\
\

\"\"

\
\

\"\"

\
Negative
\

\"\"

\
\

\"\"

\
\

\

\"\"

\
Positive
\

\"\"

\
\

\"\"

\
\

 

\

\

\

\

\

\"\"

\

\
Negative
\

\

\

Since \"\" is not in the domain of \"\", the solution of the inequality \"\" are in the interval notation \"\".

\

Set notation \"\".

\

\"\"

\

Consider the solution of the inequality \"\".

\

Produce at least \"\" bicycles.

\

\

Produce at least \"\" bicycles.