Question 16.

The area of the region satisfying the inequalities |x| - y ≤ 1, y ≥ 0, and y ≤ 1 is

A
B
C
D

Question Explanation

Text Explanation


The area of the region contained by the lines ∣ x ∣ − y ≤ 1, y ≥ 0 and y ≤ 1 is the white region.

Total area = Area of rectangle + 2 * Area of triangle = 2+(12\frac12 × 2 × 1) =3

Hence, 3 is the correct answer.

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