https://file.aiquickdraw.com/mathbot/file/1728371775584m62rvxcz.jpg

The inequality in the question is:

\[
-2 \leq x < 5
\]

We need to determine which number from the choices satisfies this inequality.

### Step-by-step analysis:

- The inequality means that \( x \) must be **greater than or equal to -2** but **less than 5**.
- Let's analyze each option:

**A: -5**  
   - Is \(-5 \geq -2\)? No, because \(-5\) is less than \(-2\). So, this is not a solution.

**B: -2**  
   - Is \(-2 \geq -2\)? Yes, because \(-2\) is equal to \(-2\), satisfying the left part.
   - Is \(-2 < 5\)? Yes, because \(-2\) is less than \(5\). Therefore, this is a solution.

**C: 5**  
   - Is \(5 < 5\)? No, because \(5\) is not less than \(5\), so this is not a solution.

**D: 7**  
   - Is \(7 < 5\)? No, because \(7\) is greater than \(5\). So, this is not a solution.

**E: -3**  
   - Is \(-3 \geq -2\)? No, because \(-3\) is less than \(-2\), so this is not a solution.

### Conclusion:
The correct answer is **B: -2**.

Would you like further details on this? 

Here are some related questions to expand on this topic:

1. What does the inequality \(a \leq x < b\) represent geometrically?
2. How do you solve compound inequalities involving both \(<\) and \(\leq\)?
3. Can you graph the inequality \(-2 \leq x < 5\) on a number line?
4. How do strict and non-strict inequalities affect the solution set?
5. What are the common mistakes when solving compound inequalities?

**Tip:** Always double-check whether the inequality includes equality (\( \leq \) or \( \geq \)) to ensure all boundary values are considered correctly.

Which of the following numbers makes the inequality -2 ≤ x < 5 true?

Find out which number makes the inequality -2 ≤ x < 5 true. This algebraic problem helps students understand how to solve compound inequalities. Suitable for Grades 6-8, the solution involves analyzing boundary conditions and checking multiple values.

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