Question

1. (3 pts) solve and graph the inequality below on a number line. 8x + 1 < 41

Explanation:

Step1: Subtract 1 from both sides

$8x+1 - 1<41 - 1$
$8x<40$

Step2: Divide both sides by 8

$\frac{8x}{8}<\frac{40}{8}$
$x < 5$

To graph on a number - line: Draw a number line. Place an open circle at 5 (since the inequality is $x < 5$, 5 is not included in the solution set) and shade the line to the left of 5.

Answer:

The solution of the inequality is $x < 5$. On the number - line, an open circle at 5 and shading to the left.