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Select the values that make the inequality a, ≥, minus, 2a≥−2 true.
(Numbers written in order from least to greatest going across.)

The inequality presented is \( a \geq -2 \), which means any value of \( a \) that is greater than or equal to \( -2 \) will satisfy the inequality.

Let's examine the options and select the values that satisfy \( a \geq -2 \):

- \(-10\): does not satisfy the inequality (less than -2)
- \(-7\): does not satisfy the inequality (less than -2)
- \(-5\): does not satisfy the inequality (less than -2)
- \(-3\): does not satisfy the inequality (less than -2)
- \(-2.1\): does not satisfy the inequality (less than -2)
- \(-2.01\): does not satisfy the inequality (less than -2)
- \(-2.001\): does not satisfy the inequality (less than -2)
- \(-2\): **satisfies the inequality** (equal to -2)
- \(-1.999\): **satisfies the inequality** (greater than -2)
- \(0\): **satisfies the inequality** (greater than -2)
- \(3\): **satisfies the inequality** (greater than -2)
- \(5\): **satisfies the inequality** (greater than -2)

Thus, the correct values from the list that satisfy \( a \geq -2 \) are:

\[
\boxed{-2, -1.999, 0, 3, 5}
\]

Would you like a further explanation on solving inequalities, or do you have any questions? 

Here are 5 questions to consider based on this problem:
1. What is the difference between strict and non-strict inequalities?
2. How would you represent the solution to this inequality on a number line?
3. How do we approach solving compound inequalities?
4. How do inequalities change if you multiply or divide both sides by a negative number?
5. What are some real-life situations where inequalities are used?

**Tip**: When solving inequalities, always check whether you need to reverse the inequality sign, especially when multiplying or dividing by negative numbers.

Select the values that make the inequality a ≥ -2 true. (Numbers written in order from least to greatest going across.)

Learn how to solve the algebraic inequality a ≥ -2 by selecting values from a given number line. This problem involves understanding inequalities and applying them to determine the correct values. Suitable for students in Grades 6-8.

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