The equation is
Write two cases:
\Case-1: .
Case-2:
Solve the equation for Case-1.
\Subtraction property of equality: if , then
.
(Subtract 4 from each side)
(Apply Additive inverse property:
)
(Subtract:
)
Check:
\To check the solution, substitute in original equation.
(Add:
)
The absolute value of is 17.
Compare the values the equation is true. is a solution.
Solve the equation for Case-2.
\Subtraction property of equality: if , then
.
(Subtract 4 from both sides)
(Subtract:
)
Check:
\To check the solution, substitute in original equation.
(Add:
)
(The absolute value of
is 17)
Compare the values the equation is true. is a solution.
The solutions are 13 and-21. The solution set is .