The inequality is .
Apply multiplication property of inequality: Multiply each side by 2.
\ (Cancel common terms)
Distribute terms using distributive property: a( b + c) = ab + ac.
\ (Multiply:
)
Apply subtraction property of inequality: Subtract 12 from each side.
\\
(Apply Additive inverse property:
)
(Subtract:
)
Apply subtraction property of inequality: Subtract 3t from each side.
\Apply commutative property of addition: .
(Subtract:
)
(Apply Additive inverse property:
)
Apply division property of inequality: 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 solution set is .