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Home > PC3 > Chapter 5 > Lesson 5.2.2 > Problem 5-76

5-76.

Solve each of the following inequalities.   

  1. boundary points:

    Complete a sign chart like the one below to determine the interval(s) where the expression is positive and negative.

    Horizontal line, with 3 tick marks, labeled, negative 4, 1.5, & 4, with 3 vertical dashed segments, extending below the line, at each of the tick marks. Below & left of first tick mark are the following labels: each on a line, x + 4  & negative sign, x minus 4, 2 x minus 3, product of the 3 previous labels, top line, between first & second vertical lines, positive sign.

  1. Simplify the numerator.
    Use the factors in both the numerator and denominator to determine the boundary points.
    Create a sign chart like the one shown in the steps for part (a).