The inequality is .
(Distributive property:
)
(Divide:
)
(Commutative property:
)
(Add:
)
Apply subtraction property of inequality:Subtract 8 from each side.
\ (Commutative property:
)
(Additive inverse property:
)
(Subtract:
)
(Divide each side by 2)
(Cancel common terms)
(Multiply:
)
(Multiply each side by negative one and flip the symbol)
(Product of two same signs is positive sign)
Graph the solution set on a number line
\Note: A circle means that this point is not included in the solution set.
Check:
\To Check, substitute a number greater than 8 in
(Substitute
)
(Distributive property:
)
(Divide:
,
)
(Additive inverse property:
)
(Additive inverse property:
)
The inequality is true.
The inequality solution set is .