To solve: the nonlinear inequality. Express the solution using interval notation and graph the solution set.
The given inequality is .
Guidelines for solving nonlinear inequality:
As the given inequality is .
Since all the terms in left hand side, then
The factor on the left-hand side are . These factors are zero when respectively. The number divide the real lines into four intervals.
Now, make a table by using test values of the signs of each factor on each interval.
Hence,the solution set is .
The graph of the non-linear inequality is:
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