The inequality is .
Solve the inequality.
\ (Original inequality)
(Apply distributive property:
)
(Subtract
from each side)
(Apply additive inverse property:
)
(Subtract:
)
(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)
(Subtract:
)
(Multiply)
Therefore, is true inequality.
Case(ii):
(Original inequality)
(Substitute
)
(Multiply)
(Subtract:
)
(Multiply)
Therefore, is false inequality.
The solution set of the inequality is .