Question

part 2 of 3
in interval notation, the solution set is (-∞, 8).
part: 2 / 3
part 3 of 3
graph the solution set on the number line.
number line from -14 to 14 with tick marks, and a toolbox with ( ), , an arrow, undo, and close buttons

Explanation:

Step1: Analyze the interval notation

The solution set is \((-\infty, 8)\), which means all real numbers less than 8. In interval notation, a parenthesis at 8 indicates that 8 is not included in the solution set.

Step2: Determine the graph on the number line

To graph \((-\infty, 8)\) on the number line:

• We use an open circle at 8 (since 8 is not included) to show that 8 is not part of the solution.
• Then we draw an arrow to the left from the open circle at 8 to represent all numbers less than 8.

Answer:

To graph the solution set \((-\infty, 8)\) on the number line:

1. Place an open circle at \(8\) (because the interval is open at \(8\), meaning \(8\) is not included in the solution set).
2. Draw an arrow starting from the open circle at \(8\) and extending to the left (towards negative infinity) to represent all real numbers less than \(8\).