The equation is .
Write two cases:
\Case-1: The expression inside the absolute value symbols is positive ().
.
Case-2: The expression inside the absolute value symbols is negative ().
(Multiply each side by negative one and flip the symbol)
(Product of two sames signs is positive)
(Product of two different signs is negative)
Solve the equation for Case-1.
\ (Subtract 4 from each side)
(Apply Additive inverse property:
)
(Apply Additive identity property:
)
(Subtract:
)
The solution set is .
Solve the equation for Case-2.
\ (Subtract 4 from each side)
(Apply Additive inverse property:
)
(Apply Additive identity property:
)
(Subtract:
)
The solution set is .
The solution set is .