Let S 1 be the plane figure consisting of the points (x, y) given by the inequalities |x – 1| ≤ 2 and |y + 2| ≤ 3. Let S 2 be the plane figure given by the inequalities x – y ≥ – 2, y ≥ 1, and x ≤ 3. Let S be the union of S 1 and S 2 . The area of S is,

GATE Mechanical Engineering (ME) 2017 Shift 1 Solved Paper

Question : 7 of 65

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Let S₁ be the plane figure consisting of the points (x, y) given by the inequalities |x – 1| ≤ 2 and |y + 2| ≤ 3. Let S₂ be the plane figure given by the inequalities x – y ≥ – 2, y ≥ 1, and x ≤ 3. Let S be the union of S₁ and S₂. The area of S is,

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