Discussion

Explanation:

Given, 

|x| - y ≤ 1
⇒ y ≥ |x| - 1

y ≥ 0 and y ≤ 1.

The following diagram can be drawn from the given information.

​​​​​​​

The required area is highlighted in orange i.e., a trapezium whose parallel sides are 4 units and 2 units and height is 1 unit.

∴ Area of the trapezium = 1/2 × (2 + 4) × 1 = 3 square units.

Hence, 3.

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