The equation is
Write two cases:
\Case-1: .
Case-2:
Solve the equation for Case-1.
\Addition property of equality: if , then
.
(Add 9 to both sides)
(Apply Additive inverse property:
)
(Apply Additive identity property:
)
(Add:
)
Check:
\To check the solution, substitute in original equation.
(Substitute
)
(Subtract:
)
The absolute value of 20 is 20.
\
Compare the values the equation is true. is a solution.
Solve the equation for Case-2.
\Addition property of equality: if , then
.
(Add 9 to both sides)
(Apply Additive inverse property:
)
(Apply Additive identity property:
)
(Add:
)
Check:
\To check the solution, substitute in original equation.
(Add:
)
(The absolute value of
is 20)
Compare the values the equation is true. is a solution.
The solutions are . The solution set is
.