Question

solve the following inequality. write the answer as an inequality, and graph the solution set.
6b - 5 < -35
-7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7
clear all draw:
question help: video

Explanation:

Step1: Add 5 to both sides

$6b-5 + 5< - 35+5$
$6b<-30$

Step2: Divide both sides by 6

$\frac{6b}{6}<\frac{-30}{6}$
$b < - 5$

To graph the solution set on the number - line:

1. Locate the point $b=-5$ on the number - line.
2. Since the inequality is $b < - 5$, we use an open circle at $b = - 5$ (because $b$ cannot equal - 5) and draw an arrow to the left to represent all the values of $b$ that are less than - 5.

Answer:

$b < - 5$; On the number - line, use an open circle at $-5$ and draw an arrow to the left.