What is the area of the region represented by |x| + |y| + |x + y| = 8 (in sq. units)?

Question

What is the area of the region represented by |x| + |y| + |x + y| = 8 (in sq. units)?
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Solution 1

To find the area of the region represented by the equation (|x| + |y| + |x + y| = 8), we need to analyze the equation by considering different cases based on the signs of (x) and (y).

Step-by-Step Solution:

  1. Case 1: (x \geq 0) and (y \geq 0)

    In this case, (|x| = x), (|y Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob

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Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
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