The inequality is .
Apply subtraction property of inequality: Subtract from each side.
.
(Commutative property:
)
(Additive inverse property:
)
(Additive identity property:
)
(Distributive property:
)
Find the least common denominator(LCD)
\Multiples of 1:1,2,3,4,5,6.....
\Multiples of 2:2,4,6,8,10....
\The least common multiple of 1 and 2 is 2
\Rewrite each fraction with a common denominator of 2
\
(Multiply each side by 2)
(Cancel common terms)
(Multiply:
)
(Divide each side by 3)
(Cancel common terms)
(Divide:
)
Graph the solution set on a number line.
Check:
\To Check, substitute a number greater than in
.
(Substitute
)
(Divide:
)
(Multiply:
)
(Subtract:
)
The inequality is true.
The inequality solution set is .