The inequality is .
Apply subtraction property of inequality: Subtract from each side.
(Additive inverse property:
)
(Additive identity property:
)
\
\
Find the least common denominator (LCD).
\Multiples of 3: 3,6,9,12,15,.......
\Multiples of 4: 4,8,12,16,20,......
\The least common multiple of 3 and 4 is 12.
\Rewrite each fraction with a common denominator of 12.
\Rewrite fractions using the LCD 12.
\
(Subtract:
)
(Divide:
)
Graph the solution set on a number line
Note: A circle means that this point is not included in the solution set.
Check:
\To check, Substitute a number grater than in
.
(Add:
)
(Divide:
)
The solution set is .