**Which of the following inequalities are correct?**

Some of the numbers involved are shown on the number line below.

Choose all answers that apply:

Choose all answers that apply:

(Choice A)   

\[-7\,\,\ <\, -5\]

A

\[-7\,\,\ <\, -5\]

(Choice B)   

\[-7\,\,\ <\,\,\,\,\,\,\ 0\]

B

\[-7\,\,\ <\,\,\,\,\,\,\ 0\]

(Choice C)   

\[\,\,\,\,\,7\,\,\ >\, -7\]

C

\[\,\,\,\,\,7\,\,\ >\, -7\]

Let's evaluate each inequality:

**Choice A:**  
\[
-7 < -5
\]
This is correct because on the number line, \(-7\) is to the left of \(-5\), meaning \(-7\) is less than \(-5\).

**Choice B:**  
\[
-7 < 0
\]
This is correct because \(-7\) is to the left of \(0\) on the number line, so \(-7\) is less than \(0\).

**Choice C:**  
\[
7 > -7
\]
This is also correct because \(7\) is to the right of \(-7\) on the number line, meaning \(7\) is greater than \(-7\).

### Correct answers:
- Choice A: \(-7 < -5\)
- Choice B: \(-7 < 0\)
- Choice C: \(7 > -7\)

Do you want more details or have any questions? 

Here are 5 related questions:
1. What is the significance of the number line when comparing numbers?
2. Can a negative number ever be greater than a positive number?
3. What is the relationship between absolute values and inequalities?
4. How does multiplying or dividing both sides of an inequality by a negative number affect the inequality?
5. How do inequalities change when shifting all terms by a constant value?

**Tip:** When comparing numbers on a number line, remember that numbers to the right are always greater than those to the left.

Which of the following inequalities are correct? Choose all answers that apply: (A) -7 < -5, (B) -7 < 0, (C) 7 > -7

Explore how to compare negative and positive numbers using inequalities and a number line. This problem involves understanding the properties of inequalities, number ordering, and how to correctly evaluate statements like -7 < -5, -7 < 0, and 7 > -7. Ideal for students in Grades 6-8.

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