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Home > AC > Chapter 10 > Lesson 10.3.2 > Problem 10-116

10-116.

Solve the following equations and inequalities, if possible. Represent each solution on a number line.  

Multiply the equation by a common multiple of the denominators to remove the fractions.

Solve for .

  1. Find the boundary point.

    Take the square root of both sides.

    Solve for .

    Test numbers on all sides of the boundary points.




    False True False

  1. Divide both sides by .

    The absolute value of what two numbers equals ?

    Follow the steps in part (b).

  1. Subtract from both sides.

    Square both sides.

    Subtract from both sides.

  1. Follow the steps in part (a).

    A common multiple of and is .

  1. Follow the steps in part (c).