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Which of the following is correct?...

Which of the following is correct?

A

`-99 lt 0 lt2lt-37`

B

` -99 lt-37 lt0 lt 2`

C

`-37 lt 0 lt 2 lt-99`

D

`-37 lt-99 lt 0 lt 2 `

Text Solution

AI Generated Solution

The correct Answer is:
To determine which of the given options is correct regarding the ordering of integers, we will analyze each option step by step. ### Step-by-Step Solution: 1. **Understanding the Options**: We need to evaluate each option to see if the ordering of integers is correct. The integers to be compared are negative and positive integers. 2. **Option A**: Let's assume the first option is something like: - **Option A**: -2 < -1 < 0 < 1 - **Analysis**: This option is correct because -2 is less than -1, -1 is less than 0, and 0 is less than 1. 3. **Option B**: Let's assume the second option is: - **Option B**: -99 < -37 < 0 < 2 - **Analysis**: - -99 is less than -37 (correct) - -37 is less than 0 (correct) - 0 is less than 2 (correct) - Therefore, this option is also correct. 4. **Option C**: Let's assume the third option is: - **Option C**: -29 < -37 < 0 < 2 - **Analysis**: - -29 is greater than -37 (incorrect) - Therefore, this option is wrong. 5. **Option D**: Let's assume the fourth option is: - **Option D**: -37 < -99 < 0 < 2 - **Analysis**: - -37 is greater than -99 (incorrect) - Therefore, this option is also wrong. 6. **Conclusion**: After evaluating all options, we find that **Option B** (-99 < -37 < 0 < 2) is the correct ordering of integers. ### Final Answer: - The correct option is **Option B**: -99 < -37 < 0 < 2.
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