Which of the following inequalities is true?

Rationale

0.1 < 0.101 < 0.11 < 0.7 is the correct inequality sequence.

This sequence correctly orders the numbers from least to greatest. The inequality symbol "<" indicates that the value on its left side is less than the value on its right side.

A (0.7 < 0.1 < 0.11 < 0.101) YOUR ANSWER

This sequence is incorrect because 0.7 is not less than 0.1. The value on the left side of the inequality symbol "<" should be less than the value on its right side, which is not the case here.

B (0.1 < 0.7 < 0.101 < 0.11) YOUR ANSWER

This sequence is incorrect because 0.7 is not less than 0.101. The value on the left side of the inequality symbol "<" should be less than the value on its right side.

C (0.1 < 0.7 < 0.11 < 0.101) YOUR ANSWER

This sequence is incorrect because 0.7 is not less than 0.11. The value on the left side of the inequality symbol "<" should be less than the value on its right side.

D (0.1 < 0.101 < 0.11 < 0.7) CORRECT

This sequence is correct because each number is less than the number that follows it.

Conclusion

The correct sequence of the numbers given in the options is 0.1 < 0.101 < 0.11 < 0.7. Every value on the left of the inequality symbol "<" is less than the value on its right side, which is the correct interpretation of the inequality. The other options contain sequences where a number is not less than the number that follows it, which makes them incorrect.

Which of the following inequalities is true?

0.1 < 0.101 < 0.11 < 0.7 is the correct inequality sequence.

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