The inequality .
Apply distributive property of inequality: a(b+c) = ab + bc.
\ (Multiply:
)
Apply subtraction property of inequality: Subtract 36 from each side
\ (Additive inverse property:
)
(Additive identity property:
)
(Divide each side by 3)
(Cancel commen 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, substitute a number less than -12 in equality .
(Substitute: w = -12)
(Additive inverse property:
)
(Zero product property:
)
This value is true
The inequality solution is .