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The image shows a reasoning question where the user is asked to select all properties that also apply to inequalities. The properties selected are:

- **Addition Property** (checked)
- **Subtraction Property** (checked)
- **Reflexive Property** (checked)
- **Transitive Property** (checked)

The ones not selected are:
- **Substitution Property** (not checked)
- **Symmetric Property** (not checked)

### Reasoning Explanation:

1. **Addition and Subtraction Properties**: 
   These properties state that you can add or subtract the same number to both sides of an inequality, and the inequality remains true. This is valid for inequalities, so they are correctly selected.

2. **Reflexive Property**:
   This property states that any number is equal to itself (e.g., \(a = a\)). This applies to inequalities as well, since \(a \leq a\) or \(a \geq a\) holds true. Therefore, this selection is also correct.

3. **Transitive Property**:
   This property states that if \(a \leq b\) and \(b \leq c\), then \(a \leq c\). This is applicable to inequalities, so it is correctly selected.

4. **Substitution Property**:
   This property is more commonly applied to equalities rather than inequalities. In equations, you can replace one quantity with another if they are equal. Since inequalities involve comparisons and not strict equality, substitution doesn't apply directly, so this is correctly unselected.

5. **Symmetric Property**:
   The symmetric property states that if \(a = b\), then \(b = a\). This does not hold for inequalities (e.g., if \(a \leq b\), it doesn't imply \(b \leq a\)), so this is also correctly not selected.

Would you like more details or have any specific questions?

Here are 5 related questions for further learning:
1. How do the properties of equality differ from the properties of inequalities?
2. Can multiplication and division affect the direction of an inequality?
3. Why doesn’t the symmetric property apply to inequalities?
4. How can you prove the transitive property for inequalities using examples?
5. What happens when you multiply both sides of an inequality by a negative number?

**Tip:** When working with inequalities, remember that multiplying or dividing by a negative number reverses the direction of the inequality!

Select all the properties that also apply to inequalities.

Explore which properties apply to inequalities, including the addition, subtraction, reflexive, and transitive properties. Learn why substitution and symmetric properties don't apply. Ideal for students in Grades 6-8.

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