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Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
(N/A)
Question Stats:
75% (00:30) correct
25% (01:15) wrong based on 4 sessions
History
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Not Attempted Yet
12 Apr 2024, 16:00
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We can solve this question using matching operations
Given:
Quantity A: x² + 2x − 2
Quantity B: x² + 2x − 1
Subtract x² from both quantities to get:
Quantity A: 2x − 2
Quantity B: 2x − 1
Subtract 2x from both quantities to get:
Quantity A: −2
Quantity B: −1
-1 > -2, so the correct answer is B
Given:
Quantity A: x² + 2x − 2
Quantity B: x² + 2x − 1
Subtract x² from both quantities to get:
Quantity A: 2x − 2
Quantity B: 2x − 1
Subtract 2x from both quantities to get:
Quantity A: −2
Quantity B: −1
-1 > -2, so the correct answer is B
28 Jun 2024, 12:20
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Official Explanation
Comparing the two quantities piece by piece, you find that the only difference is the third piece: -2 in Quantity A and -1 in Quantity B. You don’t know the value of x, but whatever it is, \(x^2\) in Quantity A must have the same value as \(x^2\) in Quantity B, and 2x in Quantity A must have the same value as 2x in Quantity B. Because any quantity minus 2 must be less than that quantity minus 1, Quantity B is greater than Quantity A.
(B) is the correct answer.
Comparing the two quantities piece by piece, you find that the only difference is the third piece: -2 in Quantity A and -1 in Quantity B. You don’t know the value of x, but whatever it is, \(x^2\) in Quantity A must have the same value as \(x^2\) in Quantity B, and 2x in Quantity A must have the same value as 2x in Quantity B. Because any quantity minus 2 must be less than that quantity minus 1, Quantity B is greater than Quantity A.
(B) is the correct answer.
