I think the Answer is D

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SOLUTION BREAKDOWN
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STEP 1: SIMPLIFY QUANTITY A
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Quantity A: 1/a + 1/b + 1/c

Finding the common denominator (abc):
Quantity A = (bc + ac + ab) / abc
= (ab + bc + ac) / abc


STEP 2: COMPARE QUANTITY A AND QUANTITY B
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Quantity A = (ab + bc + ac) / abc
Quantity B = abc / (ab + bc + ac)

Observation: Quantity B is the reciprocal (inverse) of Quantity A.


STEP 3: TEST VALUES
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Since no constraints are given for a, b, and c, we can plug in numbers:

Case 1: Let a = 2, b = 2, c = 2
- Quantity A = 1/2 + 1/2 + 1/2 = 1.5
- Quantity B = 1 / 1.5 = 0.67
- Outcome: Quantity A is greater (1.5 > 0.67)

Case 2: Let a = 6, b = 6, c = 6
- Quantity A = 1/6 + 1/6 + 1/6 = 3/6 = 0.5
- Quantity B = 1 / 0.5 = 2
- Outcome: Quantity B is greater (2 > 0.5)


CONCLUSION
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Because the outcome changes depending on the values selected,
the relationship cannot be determined.

CORRECT ANSWER:
D) The relationship cannot be determined from the information given.
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