The number of soil samples,s, that Sonal needs for an experiment must be greater than 6 but less than or equal to 13. Which of the following represents an acceptable number of soil samples for Sonal's experiment?

Options

A. `6 lt s lt 13`
B. `6 le s lt 13`
C. `6 lt s le 13`
D. `6 le s le 13`

Answer

To solve the problem, we need to express the conditions given for the number of soil samples, \( s \), that Sonal needs for her experiment.

### Step-by-step Solution:

1. **Understanding the Conditions**:
- The number of soil samples \( s \) must be greater than 6.
- The number of soil samples \( s \) must be less than or equal to 13.

2. **Expressing the Conditions Mathematically**:
- From the first condition, we can write:
\[ s > 6 \]
- From the second condition, we can write:
\[ s \leq 13 \]

3. **Combining the Conditions**:
- We can combine these two inequalities into one compound inequality:
\[ 6 < s \leq 13 \]

4. **Identifying Acceptable Values**:
- The acceptable values for \( s \) are the integers that satisfy the combined inequality. These values are:
- 7, 8, 9, 10, 11, 12, and 13.

5. **Selecting the Correct Option**:
- If the question provides multiple-choice options, we would look for an option that includes any of the acceptable values (7, 8, 9, 10, 11, 12, 13).

### Conclusion:
The acceptable number of soil samples for Sonal's experiment is represented by the inequality \( 6 < s \leq 13 \).