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The area enclosed by [(|3x+4y|)/5]+[(|4x...

The area enclosed by `[(|3x+4y|)/5]+[(|4x-3y|)/5]=3` is (where [.] denotes the greatest integer function)

A

2

B

4

C

8

D

16

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem of finding the area enclosed by the equation \(\left[\frac{|3x + 4y|}{5}\right] + \left[\frac{|4x - 3y|}{5}\right] = 3\), we will break it down step by step. ### Step 1: Understanding the Greatest Integer Function The greatest integer function, denoted by \([\cdot]\), gives the largest integer less than or equal to the argument. Therefore, the equation implies that the sum of two greatest integer functions equals 3.
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