The inequality is .
The inequality can be written as .
Multiply and divide by
.
Let .
Find the zeroes of the numerator. \ \
\
The zeros of the numerator are and
.
Find the zeroes of the denominator. \ \
\
The zeros of the denominator are and
.
has
real zeros of numerator and denominator are
and
.
Create a sign chart using the values and
.
Note : The solid circle denote that the value are included in the solution set.
\The hallow circle denote that the value are not included in the solution set.
\Observe the sign chart :
\The set of value of denoted in blue color represents the solution set.
Determine whether is positive or negative on the test intervals.
Test intervals are and
.
If then
.
If then
.
If then
. \ \
If then
.
If then
.
The solutions of are
values for which
is negitive or equal to
.
From the sign chart, the solution set is .
The solution set is .
The solution set of is
.