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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 and fill in the corresponding oval to the right of the question. A symbol that appears more than once in a question has the same meaning throughout the question.
Q. xy = 8 and x = y − 2.
Quantity A - y
Quantity B - 0
- 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 'D'. Can you explain this answer?
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Most Upvoted Answer
Directions: Compare Quantity A and Quantity B, using additional infor...
Given information:
xy = 8
x = y - 2
To compare Quantity A and Quantity B, we need to substitute the given values into the equations and simplify them.
Quantity A: y
Quantity B: 0
Substituting x = y - 2 into the equation xy = 8:
(y - 2)y = 8
y^2 - 2y = 8
y^2 - 2y - 8 = 0
Now, we can solve this quadratic equation to find the possible values of y.
Using factoring or the quadratic formula, we find that the solutions are y = -2 and y = 4.
Let's substitute these values back into the original equations to determine the values of Quantity A and Quantity B.
When y = -2:
Quantity A: -2
Quantity B: 0
When y = 4:
Quantity A: 4
Quantity B: 0
As we can see, the values of Quantity A and Quantity B depend on the value of y. When y is -2, Quantity A is -2 and Quantity B is 0. When y is 4, Quantity A is 4 and Quantity B is 0.
Since the relationship between Quantity A and Quantity B changes based on the value of y, we cannot determine a definitive relationship between the two quantities from the given information.
Therefore, the correct answer is option D - The relationship cannot be determined from the information given.
xy = 8
x = y - 2
To compare Quantity A and Quantity B, we need to substitute the given values into the equations and simplify them.
Quantity A: y
Quantity B: 0
Substituting x = y - 2 into the equation xy = 8:
(y - 2)y = 8
y^2 - 2y = 8
y^2 - 2y - 8 = 0
Now, we can solve this quadratic equation to find the possible values of y.
Using factoring or the quadratic formula, we find that the solutions are y = -2 and y = 4.
Let's substitute these values back into the original equations to determine the values of Quantity A and Quantity B.
When y = -2:
Quantity A: -2
Quantity B: 0
When y = 4:
Quantity A: 4
Quantity B: 0
As we can see, the values of Quantity A and Quantity B depend on the value of y. When y is -2, Quantity A is -2 and Quantity B is 0. When y is 4, Quantity A is 4 and Quantity B is 0.
Since the relationship between Quantity A and Quantity B changes based on the value of y, we cannot determine a definitive relationship between the two quantities from the given information.
Therefore, the correct answer is option D - The relationship cannot be determined from the information given.
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Community Answer
Directions: Compare Quantity A and Quantity B, using additional infor...
In order to compare y and 0, you can try to determine the value of y from the two
equations xy = 8 and x = y − 2. Substituting y − 2 for x in the equation xy = 8 gives (y − 2)y = 8, or y2 − 2y − 8 = 0. Factoring this quadratic equation yields (y − 4)(y + 2) = 0. Therefore y can be either 4 or −2, so Quantity A can be greater than 0 or less than 0. Thus the correct answer is Choice D.
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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 and fill in the corresponding oval to the right of the question. A symbol that appears more than once in a question has the same meaning throughout the question.Q. xy = 8 and x = y − 2.Quantity A - yQuantity B - 0a)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 'D'. 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 and fill in the corresponding oval to the right of the question. A symbol that appears more than once in a question has the same meaning throughout the question.Q. xy = 8 and x = y − 2.Quantity A - yQuantity B - 0a)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 'D'. 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 and fill in the corresponding oval to the right of the question. A symbol that appears more than once in a question has the same meaning throughout the question.Q. xy = 8 and x = y − 2.Quantity A - yQuantity B - 0a)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 'D'. 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 and fill in the corresponding oval to the right of the question. A symbol that appears more than once in a question has the same meaning throughout the question.Q. xy = 8 and x = y − 2.Quantity A - yQuantity B - 0a)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 'D'. 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 and fill in the corresponding oval to the right of the question. A symbol that appears more than once in a question has the same meaning throughout the question.Q. xy = 8 and x = y − 2.Quantity A - yQuantity B - 0a)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 'D'. 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 and fill in the corresponding oval to the right of the question. A symbol that appears more than once in a question has the same meaning throughout the question.Q. xy = 8 and x = y − 2.Quantity A - yQuantity B - 0a)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 'D'. 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 and fill in the corresponding oval to the right of the question. A symbol that appears more than once in a question has the same meaning throughout the question.Q. xy = 8 and x = y − 2.Quantity A - yQuantity B - 0a)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 'D'. Can you explain this answer?.
Solutions 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 and fill in the corresponding oval to the right of the question. A symbol that appears more than once in a question has the same meaning throughout the question.Q. xy = 8 and x = y − 2.Quantity A - yQuantity B - 0a)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 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for GRE.
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