https://file.aiquickdraw.com/mathbot/file/1726088816210iwwcs9rm.jpg

Let's solve the inequality given in the image:

\[
-5.2 + y \geq -7.4
\]

### Step 1: Isolate \(y\)

To do this, we need to add \(5.2\) to both sides of the inequality:

\[
y \geq -7.4 + 5.2
\]

### Step 2: Simplify the right-hand side

\[
y \geq -7.4 + 5.2 = -2.2
\]

### Final Answer:

The solution to the inequality is:

\[
y \geq -2.2
\]

Would you like further clarification or details on any step?

### Related Questions:
1. What would change if the inequality sign was reversed?
2. How do you solve similar inequalities involving multiplication or division?
3. What happens to the inequality sign when multiplying by a negative number?
4. Can you graph the solution on a number line?
5. How does solving inequalities differ from solving regular equations?

### Tip:
When solving inequalities, remember that multiplying or dividing by a negative number reverses the inequality sign!

Learn how to solve the inequality -5.2 + y >= -7.4 with step-by-step instructions. This algebraic problem involves isolating the variable y using basic inequality manipulation, suitable for Grade 6-8 students.

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