The equation is .
To solve an absolute value equation is ,where c > o.
First it can write two equations.
\Equation 1:
Equation 2:
Solve equation 1 is .
Apply subtraction property of equality:Subtract 6 from each side.
\Rearrange the terms using commutative property of addition: .
(Subtract:
)
Apply to division property of equality: Divide each side by negative 3.
\ (Cancel comman terms)
Solve equation 2 is .
(Subtract 6 from each side)
Rearrange the terms using commutative property of addition: .
(Subtract:
)
(Divide each side by negative 3)
(Cancel comman terms)
The solution set is .