The inequality is .
Solve the inequality.
\ (Related function)
(Factor)
or
(Zero productive property)
or
(Simplify)
Graph the parabola at -intercepts at
and
.
Observe the grph:
\The graph lies below the -axis
and
.
The solution set of the inequality is .
The graph should be opens up,Since .
Check:
\Test one value of -greater than
and less than
of the original inequality.
Case(i):
(Original function)
(Substitute
)
(Simplify)
Case(ii):
(Original function)
(Substitute
)
(Evaluate powers:
)
(Simplify)
Case(iii):
(Original function)
(Substitute
)
(Evaluate powers:
)
(Simplify)
Solution set is .