The original function is
Write as
or
First solve the case .
Apply subtraction property of equality: if a = b, then a - c = b - c.
\ (Subtract 6 from each side)
(Additive inerse property:
)
(Additive identity property:
)
(Subtract:
)
(Divide each side by 4)
(Cancel common terms)
(Divide:
)
(Multiply each side by negative one)
(Product of two same signs is positive) \ \
Next solve the case .
(Subtract 6 from each side)
(Additive inerse property:
)
(Additive identity property:
)
(Subtract:
)
(Divide each side by 4)
(Cancel common terms)
(Divide:
)
(Multiply each side by negative one)
(Product of two same signs is positive)
First, draw a number line.
\To graph the solutions set, mark the numbers -1.5 and 4.5 on number line.
\The solution set is .