The inequality is .
(Distributive property:
)
(Multiply :
)
Apply subtraction property of inequality:Subtract 4n from each side.
\ (Commutative property:
)
(Additive inverse property:
)
(Additive identity property:
)
(Subtract :
)
(Add 18 to each side)
(Additive inverse property:
)
(Additive identity property:
)
(Add:
)
(Divide each side by 2)
(Cancel common terms)
(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 a number greaterthan or equal 13.2 in
(Substitute
) \ \
(Distributive property:
)
(Multiply:
)
(Subtract:
)
(Add:
)
The inequality istrue.
The inequality solution set is .