$\"\"$

\

The inequality is $\"\"$ .

\

Rewrite the inequality $\"\"$ or $\"\"$ .

\

Solve compound inequality.

\

Case(i).

\

$\"\"$ (Original inequality)

\

$\"\"$ (Distributive property: $\"\"$ )

\

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

\

$\"\"$ (Apply additive inverse property: $\"\"$ )

\

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

\

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

\

$\"\"$ (Apply additive inverse property: $\"\"$ )

\

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

\

$\"\"$ (Rewrite the inequality)

\

$\"\"$

\

Case(ii).

\

$\"\"$ (Original inequality)

\

$\"\"$ (Distributive property: $\"\"$ )

\

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

\

$\"\"$ (Apply additive inverse property: $\"\"$ )

\

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

\

$\"\"$ (Apply additive inverse property: $\"\"$ )

\

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

\

$\"\"$

\

The graph of the solution set for each inequality on a number line diagram.

\

$\"graph$

\

$\"\"$

\

The compound inequality solution set is $\"\"$ .