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: )

Case(ii):

                                               (Second radicand greater than or equals to zero)

Step 2:

                          (Original inequality)

        (Add to each side)

                          (Apply additive inverse property: )

                  (Take square each side)

                       (Cancel square and root terms)

                                   (Cancel common terms)

                       (Subtract from each side)

                                         (Apply additive inverse property: )

                                   (Take square each side)

                                     (Cancel square and root terms)

                                         (Multiply)

                                    (Divide each side by )

                                                (Cancel common terms)

Step 3:

It appears that , and  .

Check:

Use three test values and make a table:

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

Thus, only values in the interval satisfy the inequality.

Graph:

The number line inequality is

The inequality solution set is .