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 | \![]() | \
Inequality | \Conclusion | \
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True | \
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True | \
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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
.