The rational inequality is
.
State the exclude values, those are the values for which the denominator is zero.
\The exclude value of the inequality is
.
Solve the related equation
.

Solution of related equation
.
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 the values in the interval satisfy the inequality.
\| Test-interval | \ -value | \
Inequality | \Conclusion | \
![]() | \
![]() | \
![]() | \
True | \
![]() | \
![]() | \
![]() | \
True | \
![]() | \
![]() | \
![]() | \
True | \
Since the original inequality contains a
symbol, exclude it into set of solutions at
.

Since the above statement is true,
is a solution of inequality.
Conclude that the inequality is satisfied for all
- values in
and
.
Solution of the inequality
is
.
Solution of the inequality
is
.