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Home > CCA2 > Chapter 3 > Lesson 3.2.4 > Problem 3-104

3-104.

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 −4?

    all real numbers

  2. Factor, and solve for x. Since this is an inequality, these are the boundary points.

    (x − 4)(x + 5) < 0
    The boundary points are 4 and −5.

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

    −5 < x < 4

  3. This is a quadratic equation. Set it equal to 0. Then factor and use the Zero Product Property or use the Quadratic Formula to solve.

  4. Fractions represent division. Multiply all terms by 9 to 'undo' the denominators.