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 2.
\
(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 2.
\
(Cancel common terms)
(Divide:
)
Graph the solution set on a number line.
\
Note: A dot means that this point is included in the solution set.
The solution set is
.