In the class intervals 30-60, 60-90 the number 90 is included in

Options

A. 60-90
B. 30-60
C. Both in 30-60 and 60-90
D. Neither in 30-60 nor in 60-90

Answer

To solve the question regarding the inclusion of the number 90 in the class intervals 30-60 and 60-90, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Class Intervals**:
- The first class interval is **30-60**. This means it includes all numbers starting from 30 up to, but not including, 60. Therefore, the numbers in this interval are:
- 30, 31, 32, ..., 59.
- The second class interval is **60-90**. This interval includes all numbers starting from 60 up to, but not including, 90. Thus, the numbers in this interval are:
- 60, 61, 62, ..., 89.

2. **Determine the Inclusion of 90**:
- Now, we need to check if the number **90** falls within either of these intervals.
- In the first interval (30-60), since it ends at 59, the number 90 is not included.
- In the second interval (60-90), it starts at 60 and goes up to 89. The number 90 is not included in this interval either, as it ends right before 90.

3. **Conclusion**:
- Since the number 90 does not fall within the range of either class interval, we conclude that **90 is not included in either 30-60 or 60-90**.

### Final Answer:
The number 90 is included in neither the class interval 30-60 nor in 60-90.

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