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Solve the equations and inequalities below. Check your solutions, if possible. Homework Help ✎

  1. Note the absolute value. When is an absolute value greater than or equal to ?

    all real numbers

  1. 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.

  1. This is a quadratic equation. Set it equal to . Then factor and use the Zero Product Property or use the Quadratic Formula to solve.

  1. Fractions represent division. Multiply all terms by to 'undo' the denominators.