The inequlaity is .
Apply addition property of inequality: Add 18 to each side.
\ (Apply additive inverse property:
)
(Apply additive identity property:
)
(Add:
)
Apply division property of inequality: Divide each side by 3.
\ (Cancel common terms)
(Divide:
)
(Multiply each side by negative one and flip the symbol)
(Product of two same signs is positive)
Check:
\To substitute a number greater than or equal to in
.
(Substitute q =
)
(Product of two same signs is positive)
(Multiply:
)
(Subtract:
)
The inequality is true
The inequality solution set is .