The inequality is .
(Distributive property:
)
(Multiply:
)
Apply addition property of inequality: Add 30 to each side.
\ (Additive inverse property:
)
(Additive identity property:
)
(Subtract 4n from both side)
(Commutative propert:
)
(Additive inverse property:
)
(Additive identity property:
)
(Subtract:
)
(Divide each side by 6)
(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.
Check:
\To check, a number greater than 5 in .
(Substitute
)
(Multiply:
)
(Subtract:
)
The inequality is true.
The inequality solution set is .