$\"\"$

\

The inequality $\"\"$ .

\

Solve inequality.

\

$\"\"$ (Original inequality)

\

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

\

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

\

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

\

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

\

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

\

$\"\"$ (Cancel common terms)

\

Therefore, the solution set is $\"\"$ . $\"\"$

\

Check:

\

Case(i): Consider $\"\"$ .

\

$\"\"$ (Original inequality)

\

$\"\"$ (Substitute $\"\"$ in the inequality)

\

$\"\"$ (Multiply)

\

$\"\"$ (Simplify)

\

$\"\"$ (Simplify)

\

Therefore, the stament is true.

\

Case(ii): Consider $\"\"$ .

\

$\"\"$ (Original inequality)

\

$\"\"$ (Substitute $\"\"$ in the inequality)

\

$\"\"$ (Multiply)

\

$\"\"$ (Simplify)

\

$\"\"$ (Simplify)

\

Therefore, the stament is false.

\

Case(iii): Consider $\"\"$ .

\

$\"\"$ (Substitute $\"\"$ in the inequality)

\

$\"\"$ (Multiply)

\

$\"\"$ (Simplify)

\

$\"\"$ (Simplify)

\

Therefore, the stament is true.

\

Therefore, the solution set is $\"\"$ .

\

$\"\"$

\

Graph:

\

Graph the inequality on a number line is

\

$\"\"$

\

Note: The dot indicates that the value is included in the solution set.

\

$\"\"$

\

The solution set is $\"\"$ .

\

Graph of the inequality on a number line is

\

$\"\"$