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What is the area of the region in the cartesian plane whose points (x, y) satisfy \( \Large |x| + |y| + |x + y| \leq 2 \) ?


A) 2.5

B) 3

C) 2

D) 4

Correct Answer:
C) 2

Description for Correct answer:
The region given by the inequality is shown by the graph



Area of one triangle = \( \Large \frac{1}{2} \times 1 \times 1 = \frac{1}{2} \)

\( \Large \therefore \ Total \ Area = 4 \times \frac{1}{2} = 2 \)

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