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