The inequality is .
Solve inequality.
\ (Original inequality)
(Subtract
from each side)
(Apply additive inverse property:
)
(Divide each side by
)
(Cancel common terms)
.
Therefore, the solution set is .
Check:
\Case(i): Consider .
(Original inequality)
(Substitute
in the inequality)
(Multiply)
(Simplify)
Therefore, the stament is true.
\Case(ii): Consider .
(Original inequality)
(Substitute
in the inequality)
(Multiply)
(Simplify)
Therefore, the stament is false.
\Case(iii): Consider .
(Original inequality)
(Substitute
in the inequality)
(Multiply)
(Simplify)
Therefore, the stament is true.
\Therefore, the solution set is .
Graph:
\Graph the inequality on a number line is
\Note: The dot indicates that the value is included in the solution set.
\ The solution set is .
Graph of the inequality on a number line is
\