The inequality is .
(Apply distributive property: a(b + c) = ab + ac)
(Multiply:
)
(Add:
)
Apply subtraction property of inequality: Subtract 5n from each side.
\Apply commutative property of addition: a + b = b + a.
\ (Apply Additive inverse property:
)
(Subtract:
)
Apply subtraction property of inequality: Subtract 12 from each side.
\ (Apply Additive inverse property:
)
(Subtract:
)
Apply divison property of inequality: Divide each side by 2.
\
(Cancel common terms)
The solution set is
Graph the solution set on a number line.
\Note: A circle means that this point is not included in the solution set.
The solution set is .
The graph is
\