The original function is
Write as
or
First solve the case .
According to addition property of equality: if a = b, then a + c = b + c.
\ (Add 1 to each side)
(Additive inerse property:
)
(Additive identity property:
)
(Add:
)
(Divide each side by 4) \ \
(Cancel common terms) \ \
(Divide:
)
Next solve the case .
(Product of two same signs is positive)
According to addition property of equality: if a = b, then a + c = b + c.
\ (Add 1 to each side)
(Additive inerse property:
)
(Additive identity property:
)
(Add:
)
(Divide each side by 4) \ \
(Cancel common terms) \ \
(Divide:
)
First, draw a number line.
\To graph the solutions set, mark the numbers –1.25 and 1.75 on number line.
\The solution set is .