The inequality is .
Step 1:
\Solve the quadratic equation .
(Related function)
(Subtract
from each side)
(Quadratic formula)
(Substitute
and
)
(Simplify)
or
(Write into two equations)
or
(Simplify)
Step 2:
\Plot and
on a number line.
Observe the graph:
\The number line divide into three intervals.
\Step 3:
\Test a value from each interval of the original inequality.
\Case (i): .
(Original function)
(Substitute
)
(Evaluate powers:
)
(Multiply)
(Simplify)
Case (ii): .
(Original function)
(Substitute
)
(Simplify)
Case (iii): .
(Original function)
(Substitute
)
(Evaluate powers:
)
(Multiply)
(Simplify)
Hence, the solution set is .
It is shown on the number line.
\Solution set is .