https://file.aiquickdraw.com/mathbot/file/1726252734750ks8kg7t6.jpg

The image shows a number line with two labeled points: \( a = 1 \) and \( b = 0 \). The inequality in question involves selecting the correct symbol between two expressions: \( a + b \) and \( a - b \).

Let’s evaluate these expressions:

- \( a + b = 1 + 0 = 1 \)
- \( a - b = 1 - 0 = 1 \)

Since both \( a + b \) and \( a - b \) equal 1, the correct inequality would be:

\[
a + b = a - b
\]

So the appropriate symbol for the dropdown would be "=".

Would you like more details on this, or have any questions?

Here are five related questions for further practice:

1. If \( a = 2 \) and \( b = -1 \), how would the inequality change?
2. What happens if \( a = 0 \) and \( b = -2 \)? How would you express the inequality?
3. How would the inequality change if both \( a \) and \( b \) were negative values?
4. Can you create a number line for \( a = 2 \) and \( b = 3 \), and compare the values of \( a + b \) and \( a - b \)?
5. How would the inequality behave if the variables \( a \) and \( b \) represented fractions?

**Tip**: Always check both expressions before concluding the relationship (greater than, less than, or equal) when solving inequalities involving two terms.

Use the dropdown to complete the following inequality. The number line shows points: a = 1 and b = 0. Compare a + b and a - b.

Learn how to solve inequalities by comparing expressions a + b and a - b, using a number line. This problem covers basic arithmetic and inequalities, suitable for students in Grades 6-8.

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