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 ().
(Divide each side by -negative1 and reverse the symbol)
Solve the equation for Case-1.
\ (Subtract 5 from each side)
(Apply Commutative proparty: a + b = b + a)
(Apply Additive inverse proparty:
)
(Subtract:
)
(Divide each side by - 1 and reverse the symbol)
The solution set is
Solve the equation for Case-2.
\ (Subtract 5 from each side)
(Apply Commutative proparty: a + b = b + a)
(Apply Additive inverse proparty:
)
(Subtract:
)
(Divide each side by negative 1 and reverse the symbol)
The solution set is
The solution set is .