The equation is .
Write two cases:
\Case-1: .
Case-2:
Solve the equation for Case-1.
\Apply subtraction property of equality: Subtract 1 from each side.
\Divide each side by 2.
\Check:
\To check the solution, substitute in original equation.
The absolute value of is 9.
Compare the values the equation is true. is a solution.
Solve the equation for Case-2.
\Apply subtraction property of equality: Subtract 4 from each side.
\Divide each side by 2. \ \
\\
Check:
\To check the solution, substitute in original equation.
\
(The absolute value of
is 9)
Compare the values the equation is true. is a solution.
The solution set is .