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What does -2/7 > -4 indicate about the position 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

User Choker
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1 Answer

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Final answer:

The inequality -2/7 > -4 positions -2/7 to the right of -4 on a number line, with both numbers being on the left side of zero.

Step-by-step explanation:

The inequality -2/7 > -4 indicates that on the number line, the value -2/7 is located to the right of -4. This is because on a number line, moving to the right signifies increasing value, and -2/7 is less negative than -4, which makes it a greater number. Hence, the correct answer to where -2/7 and -4 are positioned in respect to each other on a number line is option B: -2/7 is located on the right of -4.

Additionally, both numbers are on the left side of zero since they are negative. This further establishes that -2/7, being closer to zero, is to the right of -4 on the number line.

User LITzman
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