The expression is
.
Case 1: If a < b Then
\
Multiply each side by negative one and flip the symbol.
\
(Product of two same signs is positive)
Case 2: If
a < b Then

(Product of two same signs is positive)
Solve equation for case 1.
\
Apply subtraction property of inequality: Subtract 4 from each side.
\
(Apply additive inverse property:
)
(Subtract:
)
Apply division property of inequality: Divide each side by 6.
\
(Cancel common terms)
(Divide:
)
Solve equation for case 2.
\
Apply subtraction property of inequality: Subtract 4 from each side.
\
(Apply additive inverse property:
)
(Subtract:
)
Apply division property of inequality: Divide each side by 6.
\
(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
.