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The region represented by the inequality y ≤ 0 lies in _______ quadrants.

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Question

The region represented by the inequality y ≤ 0 lies in _______ quadrants.

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Solution

The region represented by the inequality y ≤ 0 lies in III and IV quadrants.

Explanation:

The region represented by the inequality y < 0 lies in III and IV quadrants. It represents the entire half-plane below the x-axis (where the y-coordinate is negative) and includes the x-axis itself (where y = 0), covering all points where the ordinate is non-positive. 

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Chapter 6: Linear Programming - Miscellaneous Exercise 6 [Page 103]
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