$\"\"$

The inequality is $\"\"$ .

Solve the inequality.

Step 1:

Since the radicand of a square root must be greaterthan or equal to zero, first solve $\"\"$ and $\"\"$ to identity the values of $\"\"$ for which the left side of the inequality is define.

Case(i):

$\"\"$ (First radicand greater than or equals to zero)

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

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

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

$\"\"$ (Cancel common terms)

Case(ii):

$\"\"$ (Second radicand greater than or equals to zero)

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

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

$\"\"$

Step 2:

$\"\"$ (Original inequality)

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

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

$\"\"$ (Take square of each side)

$\"\"$ (Cancel square and root terms)

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

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

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

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

$\"\"$

Step 3:

It appears that $\"\"$ .

Check:

Use three test values and make a table:

\ \

\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \

$\"\"$	$\"\"$	$\"\"$
$\"\"$	$\"\"$	$\"\"$
Since $\"\"$ is not a real number,the inequality is not satisfied.	Since $\"\"$ is not a real number,the inequality is not satisfied.	Since $\"\"$ ,the inequality is satisfied.

Thus, only values in the interval $\"\"$ satisfy the inequality.

Graph:

The number line inequality is

$\"\"$

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