https://file.aiquickdraw.com/mathbot/file/1727876600296hlcrvm7c.jpg

The image shows two inequality problems. The task is to determine if the provided numbers are solutions to the inequalities.

### Problem 1: \( x > 9 \)
You need to determine if each number is greater than 9:
- \( 9 \): Not greater than 9. This should have an "X."
- \( -8 \): Not greater than 9. This should have an "X."
- \( 0 \): Not greater than 9. This should have an "X."
- \( 1.2 \): Not greater than 9. This should have an "X."
- \( \frac{5}{2} = 2.5 \): Not greater than 9. This should have an "X."

### Problem 2: \( x \leq -4 \)
You need to check if each number is less than or equal to -4:
- \( -5 \): Less than -4. This should have a checkmark (✓).
- \( -4 \): Equal to -4. This should have a checkmark (✓).
- \( 1 \): Greater than -4. This should have an "X."
- \( -4.2 \): Less than -4. This should have a checkmark (✓).
- \( -\frac{5}{4} = -1.25 \): Greater than -4. This should have an "X."

These solutions match the markings shown on the right side of the image.

Would you like more details on these inequalities or have any other questions? Here are some related questions:

1. How do you solve inequalities involving fractions?
2. What happens when inequalities involve variables on both sides?
3. Can you explain compound inequalities?
4. What are some strategies for solving quadratic inequalities?
5. How does multiplying or dividing by a negative number affect an inequality?

**Tip:** Always remember that multiplying or dividing an inequality by a negative number reverses the inequality sign!

For the given inequality, determine if the provided numbers are solutions. Place a check mark in the box if it is a solution, and an 'x' in the box if it is not.

Learn how to solve inequalities by determining if numbers are solutions to 'x > 9' or 'x ≤ -4.' This problem set demonstrates key concepts in algebraic inequalities, including comparison of values and understanding greater than and less than relationships. Ideal for students in Grades 6-8.

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