College Algebra & Trigonometry, 2018a

2.4. SOLUTION OF RATIONAL INEQUALITIES BY GRAPHING 109
Roots
5x +1=0
5x = −1
x = −0.2 =− 1 5
Asymptotes
x 2 +3x − 4=0
(x +4)(x − 1) = 0
x = −4, 1
5
−8 −6 −4 −2 2 4 6 8
−5
If we combine the algebraic analysis above with what we see in the graph, then
we know that the dividing points important to the solution of this inequality are
at x = −4, −0.2, 1. The intervals where the y values are less than zero are x