It is claimed that the following inequality is true for all negative numbers x and y: The
Question:
It is claimed that the following inequality is true for all negative numbers x and y:
The following proof is offered by a student:
a. Explain the error made by the student.
b. By use of a counter-example, verify that the inequality is not satisfied if both x and y are negative.
c. Prove that this inequality is true if x and y are both positive.
Transcribed Image Text:
x+y=√x² + y²
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a The error made by the student is in assuming that x y is equal to x y This is incorrect The correc...View the full answer
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Related Book For
Edexcel AS And A Level Mathematics Pure Mathematics Year 1/AS
ISBN: 9781292183398
1st Edition
Authors: Greg Attwood
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