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The problem asks for an inequality that describes a quantity \( y \) that is **greater than or equal to** \( -\frac{1}{3} \) and **less than** \( \frac{5}{4} \).

### Breaking down the statement:
- "Greater than or equal to" \( -\frac{1}{3} \) translates to: 
  \[
  y \geq -\frac{1}{3}
  \]
- "Less than" \( \frac{5}{4} \) translates to:
  \[
  y < \frac{5}{4}
  \]

Thus, the inequality describing the given conditions is:
\[
-\frac{1}{3} \leq y < \frac{5}{4}
\]

### Correct answer:
This matches **option C**: 
\[
-\frac{1}{3} \leq y < \frac{5}{4}
\]

Would you like more details or have any questions?

### Related questions:
1. How would the inequality change if \( y \) was strictly greater than \( -\frac{1}{3} \)?
2. Can we represent this inequality on a number line?
3. How can we express this inequality in interval notation?
4. What would the solution look like if the bounds were reversed (less than or equal to \( -\frac{1}{3} \) and greater than \( \frac{5}{4} \))?
5. How would you solve a compound inequality like this if there were variables involved?

### Tip:
When dealing with inequalities, always pay close attention to whether the inequality includes equality ("greater than or equal to") or not. This determines whether you use \( \leq \) or \( < \) in your solution!

Select an inequality for the following statement: A quantity y that is greater than or equal to -1/3 and less than 5/4.

This problem involves solving an inequality where y is greater than or equal to -1/3 and less than 5/4. Learn how to solve compound inequalities and represent them on a number line.

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