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Home > PC > Chapter 7 > Lesson 7.2.3 > Problem 7-68

7-68.

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

  1.  

    Solve this as an equation. Being by setting one side equal to .

    Factor and determine the "boundary points".

    Number line, with points 1, & 6, highlighted

    Test a point in each interval to see whether or not it makes the original inequality true.

  1.  

    Number line, with highlighted points at negative 3, 1, & 2, with the following labels, left of negative 3, negative times negative times negative = negative, between negative 3 & 1, negative times negative times positive = positive, between 1 & 2, negative times positive times positive = negative, right of 2, positive times positive times positive = positive.

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