$\"\"$

The functions are $\"\"$ and $\"\"$ .

The condition is $\"\"$ .

$\"\"$

Step 1: Write the inequality so that a rational expression $\"\"$ is on the left side and zero is on the right side.

$\"\"$

Step 2 : 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 zeroes of $\"\"$ is $\"\"$ , $\"\"$ and $\"\"$ , $\"\"$ .

Imaginary roots are not consider, hence $\"\"$ and $\"\"$ .

$\"\"$

Step 3: Use the zeros and undefined values found in Step 2 to divide the real number line into intervals.

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

The function intervals are $\"\"$ .

Step 4: 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 $\"\"$ .

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

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

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Interval	\ $\"\"$ \	\ \ $\"\"$ \	Conclusion
\ $\"\"$ \	\ $\"\"$ \	\ $\"\"$ \	Positive
\ $\"\"$ \	\ $\"\"$ \	\ \ \ \ \ \ $\"\"$ \ \	Negative
\ $\"\"$ \	\ $\"\"$ \	\ $\"\"$ \	\ Positive \