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17 Aug 2020, 20:10
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1) If x and y are real number, y>x and y>x>0, can you define the sign of y-2xy? (Yes or No)
2) If x and y are real number, y>x and y>x>1, can you define the sign of y-2xy? (Yes or No)
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2) If x and y are real number, y>x and y>x>1, can you define the sign of y-2xy? (Yes or No)
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17 Aug 2020, 20:11
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1) is No, 2) is Yes
Can someone explain me what “define” means in Math please?
Thank you in advance!
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Can someone explain me what “define” means in Math please?
Thank you in advance!
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17 Aug 2020, 21:03
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suminha
Hello Suminha. The word define means here simply means can we "say" or can we "tell definitely" what the sign of y - 2xy i.e if it is positive or negative.
Here we have been given certain data that x and y are both real and that y > x and that both x and y are greater than 0.
Let's take a couple of data points to see if the sign is the same for all different possibilities.
Case 1:
Let x = 1 and y = 2. This satisfies y > x > 0.
Then y - 2xy = 2 - (2 * 1 * 2) = 2 - 4 = -2. Here the sign is negative.
Case 2:
Let x = 0.25 and y = 0.5. This satisfies y > x > 0.
Then y - 2xy = 0.5 - (2 * 0.25 * 0.5) = 0.5 - 0.25 = 0.25. Here the sign is positive.
Therefore the answer is Option (1) NO.
Hope this helps
Arun Kumar
Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Quantitative Questions Forum
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Thank you for understanding, and happy exploring!
