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 addition property of equality: Add 6 to each side.
\ (Apply additive inverse property:
)
(Apply additive identity property:
)
(Add:
)
Apply multiplication property of equality: Multiply each side by .
(Cancel common terms)
(Multiply:
)
Solve equation 2 is .
Apply addition property of equality: Add 6 to each side.
\ (Apply additive inverse property:
)
(Apply additive identity property:
)
(Add:
)
Apply multiplication property of equality: Multiply each side by .
(Cancel common terms)
(Multiply:
)
The solution set is .