https://file.aiquickdraw.com/mathbot/file/1726111822135tkk4n5ej.jpg

The compound inequality in the image is:

\[
x < 1 \quad \text{or} \quad x > 5
\]

### To graph this:

1. **Plot for \(x < 1\)**:
   - This is all values less than 1. Use an open circle at 1 (because 1 is not included) and draw an arrow extending to the left, covering numbers less than 1.

2. **Plot for \(x > 5\)**:
   - This is all values greater than 5. Use an open circle at 5 (because 5 is not included) and draw an arrow extending to the right, covering numbers greater than 5.

The graph will show two separate rays, one starting at 1 and going left (with an open circle), and the other starting at 5 and going right (also with an open circle). 

If you need further clarification, or if you're ready to check your graph, feel free to ask!

---

Would you like further details on inequalities or graphing them?

Here are 5 related questions for further practice:
1. How would the graph change if the inequality was \(x \leq 1\) or \(x \geq 5\)?
2. What is the difference between "and" and "or" in compound inequalities?
3. How do you represent \(x > 5\) on a number line?
4. Can compound inequalities represent intervals on the number line?
5. How would you solve a compound inequality with "and"?

**Tip**: Always use an open circle for strict inequalities (\(<\) or \(>\)) and a closed circle for inclusive inequalities (\(\leq\) or \(\geq\)).

Graph the compound inequality: x < 1 or x > 5

Learn how to graph the compound inequality x < 1 or x > 5 on a number line. This problem covers key algebra concepts such as strict inequalities and number line graphing, suitable for students in Grades 7-9.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation