The expression is .
Case 1: If a < b Then
\Case 2: If a < b Then
Multiply each side by negative one and flip the symbol.
\ (Product of two same signs is positive)
Solve equation for case 1.
\Apply addition property of inequality: Add 3 to each side.
\
(Apply additive inverse property:
)
(Add:
)
Apply division property of inequality: Divide each side by 3.
\ (Cancel common terms)
(Divide:
)
Solve equation for case 2.
\Apply addition property of inequality: Add 3 to each side.
\ (Apply additive inverse property:
)
(Add:
)
Apply division property of inequality: Divide each side by 3.
\
(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 .