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.