The inequality 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 inequality for case 1.
\Apply subtraction property of inequality: Subtract 2 from each side.
\ (Apply additive inverse property:
)
(Subtract:
)
Solve inequality for case 2.
\Apply subtraction property of inequality: Subtract 2 from each side.
\ (Apply additive inverse property:
)
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 .