Question

Graph the inequality on the numberline and then write it in interval notation. 4-3y<-8

Answer 1

First, let's simplify the inequality

$\begin{gathered} \frac{4}{3}y<-8 \\ \Rightarrow4y<-24 \\ \Rightarrow y<-6 \end{gathered}$

The graph looks like this:

Notice that the white dot is placed above the -6, it is important to include it like that.

Now, as an interval:

$\begin{gathered} y<-6 \\ \Rightarrow y\in(-\infty,-6) \end{gathered}$