https://file.aiquickdraw.com/mathbot/file/1726853184227zcugk62b.jpg

The inequality shown in the image is:

\[
8.5 \geq -0.7 + y
\]

### To solve for \( y \):

1. First, isolate \( y \) by subtracting \( -0.7 \) from both sides:

\[
8.5 - (-0.7) \geq y
\]

This simplifies to:

\[
8.5 + 0.7 \geq y
\]

2. Now simplify the left-hand side:

\[
9.2 \geq y
\]

or equivalently:

\[
y \leq 9.2
\]

Thus, the solution to the inequality is:

\[
y \leq 9.2
\]

Would you like any additional details or have any questions?

Here are 5 related questions for further exploration:
1. How would the solution change if the inequality sign were reversed?
2. How can you represent this solution on a number line?
3. What happens if you add or subtract a different number instead of 0.7?
4. How do inequalities differ from solving equations?
5. How would you solve a system of inequalities with similar steps?

**Tip:** Always check your final answer by substituting a value within the solution range back into the original inequality!

Solve the inequality for y: 8.5 ≥ -0.7 + y

Learn how to solve the inequality 8.5 ≥ -0.7 + y by isolating the variable y. This problem involves linear equations and inequalities, suitable for students in Grades 6-8.

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