The original function is
.
Apply multiplication property of inequality: Multiply each side by 4.
\
(Cancel common terms)
(Multiply:
)
Case 1: If a
b Then

Case 2: If
a
b Then

Multiply each side by negative sign and flip the symbol.
\
(Product of two same signs is positive)
Solve equation for case 1.
\
Apply addition property of inequality: Add 8 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 8 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.
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Note: A dot means that this point is included in the solution set.
The solution set is
.