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Is the feasible region bounded, unbounded or empty

This type of question, asked 4 times: May 2021 S1, 15 May 2023 S1, 25 Apr 2025 S1, 16 Apr 2026 S1. All 5 questions below, oldest first.

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  1. Question 1

    May 2021 S1

    143
    The constraints −x1+x2≤1-x_1 + x_2 \leq 1, −x1+3x2≤9-x_1 + 3x_2 \leq 9 and x1,x2≥0x_1, x_2 \geq 0 define

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  2. Question 2

    May 2021 S1

    142
    The region represented by the inequation system x,y≥0x, y \geq 0, y≤6y \leq 6, x+y≤3x + y \leq 3 is

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  3. Question 3

    15 May 2023 S1

    125
    The region represented by the inequations 2x+3y≤18,x+y≥10,x≥0,y≥02x+3y\leq18, x+y\geq10, x\geq0, y\geq0 is

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  4. Question 4

    25 Apr 2025 S1

    106
    The solution set of the constraints ∣x−y∣≤1,x,y≥0|x-y| \leq 1,x,y\geq 0 is

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  5. Question 5

    16 Apr 2026 S1

    95
    The feasible region represented by the constraints y−2x≤4,x+y≥5,x≤4,y≥2,x,y≥0y - 2x \le 4, x + y \ge 5, x \le 4, y \ge 2, x, y \ge 0 is ...........

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