The inequality is .
Apply multiplication property of inequality: Multiply each side by 3.
\ (Cancel common terms)
(Multiply:
)
(Multiply each side by negative one and flip the symbol)
(Product of two same signs is positive)
Apply division property of inequality: Divide each side by 2.
\ (Cancel commen terms)
(Divide:
)
Check:
\To check, substitute three different values for t into the original inequality : 45, a number less than 45, and greater than 45.
Let three values are .
If then
(This is false)
If then
(This is true)
If then
(This is true).
The inequality solution set is .