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Solve the inequalities below. Check your solutions, if possible.

  1. Note the absolute value. When is the absolute value of a quantity greater than or equal to ?

    all real numbers

  1. Rewrite the inequality as an equation, factor, and solve for . Since this is an inequality, these are the boundary points.

    The boundary points are and .

    Plot your boundary points on a number line. Test a point in each region to see which region(s) make the inequality true.