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.
\Note: A dot means that this point is included in the solution set.
The solution set is .