The original function is
Write as
or
First solve the case .
Apply Addition property of equality: if a = b, then a + c = b + c.
\ (Add
to each side)
(Additive inerse property:
)
(Additive identity property:
)
(Add:
)
(Multiply each side by 4)
(Cancel common terms)
(Multiply:
)
(Divide each side by 3)
(Cancel common terms)
(Divide:
)
Next solve the case .
(Add
to each side)
(Additive inerse property:
)
(Additive identity property:
)
(Add:
)
(Multiply each side by 4)
(Cancel common terms)
(Multiply:
)
(Divide each side by 3)
(Cancel common terms)
(Divide:
)
First, draw a number line.
\To graph the solutions set, mark the numbers -8 and 24 on number line.
\The solution set is .