The inequality is .
State the exclude values, these are the values for which denominator is zero.
\The exclude value of the inequality is 0.
\Solve the related equation
Solutions of the related equation are .
Draw the vertical lines at the exclude values and at the solution to separate the number line into intervals.
\Now test sample values in each interval to determine whether values in the interval satisify the inequality.
\Test interval x - value Inequality Conclusion
\
True
False
True
False
The above conclude that the inequality is satisfied for all x - values in and
.
Solution of the inequality is .
graph is :
\Notice that the open circle means, those values are not included in the solution set.
\Solution of the inequality is .
Graph is :
\