The inequality is
.
Solve the inequality.
\
(Original inequality)
Property of Inequality for logarithmic functions:
, if and only if
.
(Logarithm formula:
if and only if
)
(Add
to each side)
(Apply additive inverse property:
)
(Subtract
from each side)
(Apply additive inverse property:
)
(Divide each side by
)
(Cancel common terms)
(Rewrite the inequality)
Exclude all values of
which
or
.
Case (i):
\
(First exclude value)
(Subtract
from each side)
(Apply additive inverse property:
)
Case (ii):
\
(Second exclude value)
(Add
to each side)
(Apply additive inverse property:
)
(Divide each side by
)
(Cancel common terms)
The inequality solution set is
.