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Determine the region in the plane determined by the inequalities: 2x + 3y ≤ 6, x + 4y ≤ 4, x ≥ 0, y ≥ 0 - Mathematics

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प्रश्न

Determine the region in the plane determined by the inequalities:

2x + 3y ≤ 6, x + 4y ≤ 4, x ≥ 0, y ≥ 0

आलेख
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उत्तर

If 2x + 3y = 6

x 0 3
y 2 0

x + 4y = 4

x 0 4
y 1 0

x ≥ 0, y ≥ 0 represents the area in the 1 quadrant.

The required region is below 2x + 3y = 6 and below x + 4y = 4 bounded by x-axis and y-axis.

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पाठ 2: Basic Algebra - Exercise 2.10 [पृष्ठ ७३]

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सामाचीर कलवी Mathematics - Volume 1 and 2 [English] Class 11 TN Board
पाठ 2 Basic Algebra
Exercise 2.10 | Q 5 | पृष्ठ ७३
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