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Home > PC3 > Chapter 4 > Lesson 4.3.2 > Problem 4-119

4-119.

Solve the inequalities below and express the solutions in both interval and inequality notation.  

  1.  

    The sign means that the three factors, when multiplied, are positive.
    Check a value in each interval to determine the positive intervals.

    Number line, with highlighted points at 1, 3, & 5, with the following labels, left of 1, positive times negative times negative = positive, between 1 & 3, negative times negative times negative = negative, between 3 & 5, negative times positive times negative = positive, right of 5, negative times positive times positive = negative.

  1.  

    1. Factor and determine the boundary points.
    2. Sketch a number line and test your intervals.