Problem Solving (PS) | Re: In the x-y plane, the area of the region bounded by the graph of |x +

Given |x + y| + |x - y| = 4

Case 1 - (x + y) > 0 & (x - y) > 0, we get

x + y + x - y = 4

x = 2......(i)

Case 2 - (x + y) < 0 & (x - y) < 0, we get

- x - y - x + y = 4

x = - 2......(ii)

Case 3 - (x + y) < 0 & (x - y) > 0, we get

- x - y + x - y = 4

y = - 2......(iii)

Case 4 - (x + y) > 0 & (x - y) < 0, we get

x + y - x + y =
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