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C-5.

Solve the equations and inequalities below, if possible.  

  1.  

    Isolate the square root by subtracting from both sides.

    Look inside.

    If , then .

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    Change the inequality into an equation.
    Then isolate the absolute value by dividing both sides by

    Use two equations to find all solutions for .

    Graph both values of on a number line, then test values from between the points, to the left of them, and to the right of them in the original equation to find the solution region(s).

    or

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    See the help for part (b).

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    Use a Fraction Buster to eliminate the fractions.

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    Change the inequality into an equation. Then square root both sides.
    Make two equations, one with the positive root and one with the negative.

    Solve both equations for . Then use the method from part (b), Step 4, to find the solution.

  1.  

    The cube root of is .