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What is the nature of the region defined by the inequalities 2x + 3y - 5 ≤ 0 and 4x - 3y + 2 ≤ 0?

1. It does not lie in the first quadrant
2. It is a bounded region in the first quadrant
3. It is an unbounded region in the first quadrant
4. None of the above

Correct answer: None of the above

Solution

The region defined by the given inequalities does not restrict itself to the first quadrant, and it is not bounded, as the lines intersect outside of that quadrant, leading to an unbounded area that extends into other quadrants.

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