\ \
The inequality is
. \ \
Solve the inequality. \ \
\
(Original inequality) \ \
(Add
to each side) \ \
(Apply additive inverse property:
) \ \
(Add:
) \ \
(Divide each side by
) \ \
(Cancel common terms) \ \
(Multiply each side by negative one and flip the symbol) \ \
The graph of the solution set on a number line diagram.
\ \
A circle means that this point is not included in the solution set.
\Check solution for
-value \ \
Case(i):
\ \
(Original inequality) \ \
(Substitute
) \ \
(Multiply) \ \
(Add:
) \ \
Therefore,
is true inequality. \ \
Case(ii):
\ \
(Original inequality) \ \
(Substitute
) \ \
(Multiply) \ \
(Add:
) \ \
Therefore,
is false inequality. \ \
\ \
The solution set of the inequality is
.