$\"\"$

The inequality algebraically function is $\"\"$ .

Rewrite the function is $\"\"$ .

$\"\"$

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

$\"\"$

$\"\"$ $\"\"$

Step 2: Determine the real zeros ( $\"\"$ -intercepts of the graph ) of $\"\"$ .

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

The zeroes of $\"\"$ is $\"\"$ , $\"\"$ and $\"\"$ , $\"\"$ .

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

$\"\"$

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

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

Hence divide intervals based on $\"\"$ -intercepts.

The 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 $\"\"$ .

The intervals are $\"\"$ .

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

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