The inequality .
Solve inequality.
\ (Original inequality)
(Subtract
from each side)
(Apply additive inverse property :
)
(L.C.M of
is
)
(Simplify)
Therefore, the solution set is .
Check:
\Case(i): Consider .
(Original inequality)
(Substitute
in the inequality)
(Multiply)
(Simplify)
Therefore, the stament is false.
\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.
\Graph:
\Graph the inequality on a number line :
\Note: The circle indicates that the value is not included in the solution set.
\ The solution set is .
Graph of the inequality on a number line is
\