The expression is .
Case 1: If a > b Then
\Multiply each side by negative sign and flip the symbol.
\ (Product of two same signs is positive)
Case 2: If a > b Then
(Product of two same signs is positive)
Solve equation for case 1.
\Apply subtraction property of inequality: Subtract 7 from each side.
\ (Apply additive inverse property:
)
(Subtract:
)
Apply division property of inequality: Divide each side by 3.
\ (Cancel common terms)
(Divide:
)
Solve equation for case 2.
\Apply subtraction property of inequality: Subtract 7 from each side.
\ (Apply additive inverse property:
)
(Subtract:
)
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 .