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Directions: compare Quantity A and Quantity B, using additional information centered above the two quantities if such information is given. Select one of the following four answer choices. A symbol that appears more than once in a question has the same meaning throughout the question.
Q. x2y > 0, xy2 < />
Quantity A: x
Quantity B: y
- a)Quantity A is greater.
- b)Quantity B is greater.
- c)The two quantities are equal.
- d)The relationship cannot be determined from the information given.
Correct answer is option 'B'. Can you explain this answer?
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Most Upvoted Answer
Directions: compare Quantity A and Quantity B, using additional infor...
You are given that x2y > 0 which means that the product of the two numbers x2 and y is positive. Recall that the product of two numbers is positive only if both numbers are positive or both numbers are negative. The square of a number is always greater than or equal to 0. In this case, x2 cannot equal 0 because the product x2y is not 0. Thus, x2 is positive and it follows that y is also positive.
You are also given that which means that the product of the two numbers x and y2 is negative. The product of two numbers is negative only if one of the numbers is negative and the other number is positive. In this case, cannot be negative because it is the square of a number, and it cannot be 0 because the product x2y is not 0. Thus, y2 is positive and so x must be negative.
Because x is negative and y is positive, y must be greater than x, and the correct answer is Choice B.
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Community Answer
Directions: compare Quantity A and Quantity B, using additional infor...
Explanation:
Given:
x^2y > 0
xy^2
Analysis:
To compare Quantity A (x) and Quantity B (y), we need to consider the given inequality x^2y > 0 and xy^2.
Reasoning:
Since x^2y > 0, we know that either x and y are both positive or x and y are both negative. This implies that x and y have the same sign.
If x and y have the same sign, we can see that Quantity B (y) is greater than Quantity A (x) because y^2 is greater than y. This conclusion holds true regardless of whether x and y are positive or negative.
Therefore, Quantity B (y) is greater than Quantity A (x).
Final Answer:
Quantity B is greater. (Option B)
Given:
x^2y > 0
xy^2
Analysis:
To compare Quantity A (x) and Quantity B (y), we need to consider the given inequality x^2y > 0 and xy^2.
Reasoning:
Since x^2y > 0, we know that either x and y are both positive or x and y are both negative. This implies that x and y have the same sign.
If x and y have the same sign, we can see that Quantity B (y) is greater than Quantity A (x) because y^2 is greater than y. This conclusion holds true regardless of whether x and y are positive or negative.
Therefore, Quantity B (y) is greater than Quantity A (x).
Final Answer:
Quantity B is greater. (Option B)
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Directions: compare Quantity A and Quantity B, using additional information centered above the two quantities if such information is given. Select one of the following four answer choices. A symbol that appears more than once in a question has the same meaning throughout the question.Q. x2y > 0, xy2 Quantity A: xQuantity B: ya)Quantity A is greater.b)Quantity B is greater.c)The two quantities are equal.d)The relationship cannot be determined from the information given.Correct answer is option 'B'. Can you explain this answer?
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Directions: compare Quantity A and Quantity B, using additional information centered above the two quantities if such information is given. Select one of the following four answer choices. A symbol that appears more than once in a question has the same meaning throughout the question.Q. x2y > 0, xy2 Quantity A: xQuantity B: ya)Quantity A is greater.b)Quantity B is greater.c)The two quantities are equal.d)The relationship cannot be determined from the information given.Correct answer is option 'B'. Can you explain this answer? for GRE 2024 is part of GRE preparation. The Question and answers have been prepared according to the GRE exam syllabus. Information about Directions: compare Quantity A and Quantity B, using additional information centered above the two quantities if such information is given. Select one of the following four answer choices. A symbol that appears more than once in a question has the same meaning throughout the question.Q. x2y > 0, xy2 Quantity A: xQuantity B: ya)Quantity A is greater.b)Quantity B is greater.c)The two quantities are equal.d)The relationship cannot be determined from the information given.Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for GRE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Directions: compare Quantity A and Quantity B, using additional information centered above the two quantities if such information is given. Select one of the following four answer choices. A symbol that appears more than once in a question has the same meaning throughout the question.Q. x2y > 0, xy2 Quantity A: xQuantity B: ya)Quantity A is greater.b)Quantity B is greater.c)The two quantities are equal.d)The relationship cannot be determined from the information given.Correct answer is option 'B'. Can you explain this answer?.
Directions: compare Quantity A and Quantity B, using additional information centered above the two quantities if such information is given. Select one of the following four answer choices. A symbol that appears more than once in a question has the same meaning throughout the question.Q. x2y > 0, xy2 Quantity A: xQuantity B: ya)Quantity A is greater.b)Quantity B is greater.c)The two quantities are equal.d)The relationship cannot be determined from the information given.Correct answer is option 'B'. Can you explain this answer? for GRE 2024 is part of GRE preparation. The Question and answers have been prepared according to the GRE exam syllabus. Information about Directions: compare Quantity A and Quantity B, using additional information centered above the two quantities if such information is given. Select one of the following four answer choices. A symbol that appears more than once in a question has the same meaning throughout the question.Q. x2y > 0, xy2 Quantity A: xQuantity B: ya)Quantity A is greater.b)Quantity B is greater.c)The two quantities are equal.d)The relationship cannot be determined from the information given.Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for GRE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Directions: compare Quantity A and Quantity B, using additional information centered above the two quantities if such information is given. Select one of the following four answer choices. A symbol that appears more than once in a question has the same meaning throughout the question.Q. x2y > 0, xy2 Quantity A: xQuantity B: ya)Quantity A is greater.b)Quantity B is greater.c)The two quantities are equal.d)The relationship cannot be determined from the information given.Correct answer is option 'B'. Can you explain this answer?.
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