The inequality is .

The radical is defined for .

The radical   is defined for .

Consider .

Consider .

The domain of the equation is restricted to .

Now consider the original inequality equation .

Squaring on both sides.

Make sure to completely isolate the radical before squaring both sides of the inequality. Note change in sign.

Now squaring on both sides.

Consider .

.

.

Let .

Therefore has real zeros at and .

Create a sign chart using the values and .

Note : The hallow circle denote that the value are included in the solution set.           

Observe the sign chart :

The set of value of  denoted in blue color represents the solution set.

Determine whether is positive or negative on the test intervals.

Test intervals are and .

If then .

If then .

If then .

The solutions of are values for which is negitive.

The solution set is .

The domain of the equation is restricted to .

Create a  sign chart that includes this restriction.

When solving inequalities that involve raising each side to a power to eliminate a radical, it is important to test every interval using the original inequality.

Substitute a value in each test interval into the original inequality to determine if is a solution.

The original inequality equation is .

Subustiute value in the original inequality equation .

If then .

If then .

If then .

If then .

From the above sign chart we noticed that the values that lie outside the solution set found by solving the inequality for are also the solutions.

Therefore the solution set is .

The Solution set of is .