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What does -2/7 > -4 indicate about the positions of -2/7 and -4 on the number line?

A. -2/7 is located on the left of -4
B. -2/7 is located on the right of -4
C. -2/7 is located on the right of 0, and -4 is located on the left of 0
D. -2/7 is located on the left of 0, and -4 is located on the right of 0

1 Answer

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Final answer:

The inequality -2/7 > -4 shows that -2/7 is positioned to the right of -4 on the number line, meaning it is closer to zero. This indicates that -2/7 is less negative and therefore has a greater value than -4.

Step-by-step explanation:

The inequality -2/7 > -4 indicates their positions on a number line. Since on a number line, numbers increase in value as you move to the right, and decrease in value as you move to the left, the inequality tells us that -2/7 is to the right of -4. This means option B is correct: -2/7 is located on the right of -4. Both numbers are also located on the left side of 0 because they are negative, but since -2/7 is greater than -4, it is closer to 0.

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