Which of the following is true?

Rationale

-1/2 < -1/4 < 1

This statement accurately reflects the order of the numbers on the number line, where -1/2 is less than -1/4, and both are less than 1. The comparative values align correctly as the negative fractions become less negative, approaching zero, and are therefore correctly positioned.

A (FALSE) YOUR ANSWER

This inequality is incorrect because -1/4 is greater than -1/2. On the number line, -1/4 is closer to zero than -1/2, making the order of these fractions incorrect.

B (FALSE) YOUR ANSWER

This choice is also false. While -1/4 is indeed greater than -1/6, -1 is less than both of these fractions. The correct order should have -1 at the end, as it is the smallest value of the three.

D (FALSE) YOUR ANSWER

This statement is incorrect as it misplaces the order of negative numbers. In fact, -2 is greater than -4, which in turn is greater than -6. The proper order should reflect that -6 is the smallest value, followed by -4 and then -2.

Conclusion

In evaluating the comparative values of the fractions and integers presented, option C correctly summarizes the relationships among the values: -1/2 is less than -1/4, which is less than 1. The other choices fail to maintain correct relationships based on the number line, underscoring the importance of understanding the positioning of negative and positive values in numerical comparisons.

Which of the following is true?

-1/2 < -1/4 < 1

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