Can some one explain 1a and b from lesson 4 homework
For part (a), they want you to look at the graphs and state where (x+5)/(x-1) is less than 4. Since y=(x+5)/(x-1) is the green graph and y=4 is the blue graph, you need to state the x-values for which the green graph is below the blue graph (ignore the red graph for now). This occurs from -∞ to the vertical asymptote at x=1 and from 3 to ∞ . I've highlighted these regions in the picture below. Therefore the answer is (-∞,1) and (3, ∞ ).
For part (b), do the same thing, but this time state where the red graph is above the green graph. Looks like its roughly (-0.5, 1) and (2, ∞). See picture below. This question would be a lot easier if there were only two graphs and not a third one getting in the way!