$\"\"$ $\"\"$

\

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: $\"\"$ )

\

$\"\"$ (multiply: $\"\"$ )

\

this value is true

\

$\"\"$

\

The inequality solution is $\"\"$ .