Chapter 6.1, Problem 48SR

To determine

To solve the given inequality and to graph the solution of it.

Answer to Problem 48SR

Solution is $b<-5$ and the graph is,

Explanation of Solution

Given:

  $-3\left(b-1\right)>18$

Calculation:

  $-3\left(b-1\right)>18$

Dividing by $-3$ on both sides, we get

  $\begin{array}{l}\frac{-3\left(b-1\right)}{-3}<\frac{18}{-3}\\ \Rightarrow b-1<-6\end{array}$

Adding 1 on both sides, we get

  $\begin{array}{l}b-1+1<-6+1\\ \Rightarrow b<-5\end{array}$

Now the graph is,