The inequality is .

Solve the inequality.

Step 1:

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

                          (First radicand greater than or equals to zero)

               (Subtract from each side)

                          (Apply additive inverse property: )

                                (Multiply each side by negative one and flip the symbol)

                           (Divide each side by )

                                   (Cancel common terms)

Step 2:

                (Original inequality)

    (Add to each side)

                       (Apply additive inverse property: )

             (Take square each side)

                        (Cancel square and root terms)

            (Subtract from each side)

                            (Apply additive inverse property: )

                           (Multiply each side by negative one and flip the symbol)

                      (Divide each side by )

                             (Cancel common terms)

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 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 .