\

\

$\"\"$

\

To solve an absolute value equation, first write two equations.

\

Equation 1: $\"\"$

\

$\"\"$

\

Equation 2: $\"\"$

\

$\"\"$

\

$\"\"$

\

Solve equation 1.

\

$\"\"$

\

According to Subtraction property of equality: if $\"\"$ , then $\"\"$

\

$\"\"$ (Subtract 9 from each side)

\

$\"\"$ (Using commutative property: a + b = b + a)

\

$\"\"$ (Subtract: $\"\"$ )

\

$\"\"$ (Add 4 to each side)

\

$\"\"$ (Add: $\"\"$ )

\

$\"\"$ (Divide each side by 2)

\

$\"\"$ (Cancel common terms)

\

$\"\"$ (Divide: $\"\"$ ) \ \

\

$\"\"$

\

Solve equation 2.

\

$\"\"$

\

$\"\"$ (Subtract 5 from each side)

\

$\"\"$ (Using commutative property: a + b = b + a)

\

$\"\"$ (Subtract: $\"\"$ )

\

$\"\"$ (Divide each side by 2)

\

$\"\"$ (Cancel common terms)

\

$\"\"$ (Divide: $\"\"$ ) \ \

\

$\"\"$

\

The solution set is $\"\"$

\

\

\

\