The inequality is .
Apply subtraction property of inequality: Subtract from each side.
According to commutative property of addition: .
(Subtract:
)
(Apply additive inverse property:
)
(Apply additive identity property:
)
(Add
to each side)
(Apply additive inverse property:
)
(Apply additive identity property:
)
Find the least common denominator (LCD).
\Multiples of 3: 3,6,9,12,15.....
\Multiples of 9: 9,18,27,.....
\The least common multiple of 3 and 9 is 9.
\Rewrite each fraction with a common denominator of 9.
\
(Add:
)
(Divide:
)
Graph the solution set on a number line
Note: A dot means that this point is included in the solution set.
Check:
\To check, substitute 1.1, a number less than 1.1, in .
Find the least common denominator (LCD).
\Multiples of 2: 2,3,6,8,10,.......
\Multiples of 3: 3,6,9,12,..........
\The least common multiple of 2 and 3 is 6.
\Rewrite each fraction with a common denominator of 6.
\Find the least common denominator (LCD).
\Multiples of 2: 2,4,6,8,10,12,14,16,18,20,.....
\Multiples of 9: 9,18,27,36,45,..........
\The least common multiple of 2 and 9 is 18.Rewrite each fraction with
\a common denominator of 18.
\
The inequality is true.
\The inequality solution set is .