The inequality is .
Apply subtraction property of inequality: Subtract from each side.
(Commutative property:a + b = b + a)
(Additive inverse property:
)
(Additive identity property:
)
(Distributive property: ab + ac = a(b + c))
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
Note: A circle means that this point is not included in the solution set.
The inequality solution set is .