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The region represented by the inequations 2x 3y ≤ 18, x y ≥ 10, x ≥ 0, y ≥ 0 is 1.unbounded 2. a polygon 3. bounded region 4. Null region?
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The region represented by the inequations 2x 3y ≤ 18, x y ≥ 10, x ...
Explanation:
The given set of inequalities is:
2x + 3y ≤ 18
x + y ≥ 10
x ≥ 0
y ≥ 0
Bounded Region:
We can graph the given set of inequalities on a coordinate plane to visualize the region it represents.
Plotting the lines 2x + 3y = 18 and x + y = 10, we get two intersecting lines.
The region bounded by these two lines and the x and y axes is the feasible region for the given set of inequalities.
Polygon:
The feasible region is a polygon as it is bounded by the intersecting lines and the axes.
Answer:
Hence, the region represented by the given set of inequalities is a bounded polygon.
Explanation:
A polygon is a closed plane figure bounded by straight sides.
In the given set of inequalities, the region is bounded by the lines 2x + 3y = 18 and x + y = 10, and the x and y axes.
These lines are straight and the region is enclosed by them.
Bounded Region:
Hence, the region represented by the given set of inequalities is a bounded region.
Unbounded:
If any of the inequalities in the given set was unbounded, then the feasible region would have been unbounded.
However, all the given inequalities have upper bounds, and hence the feasible region is bounded.
Null Region:
If the given set of inequalities had no solution, then the feasible region would have been a null region.
However, in this case, there is a feasible region and hence the region represented by the given set of inequalities is not a null region.
Answer:
Hence, the region represented by the given set of inequalities is a bounded polygon and not unbounded or null.
The given set of inequalities is:
2x + 3y ≤ 18
x + y ≥ 10
x ≥ 0
y ≥ 0
Bounded Region:
We can graph the given set of inequalities on a coordinate plane to visualize the region it represents.
Plotting the lines 2x + 3y = 18 and x + y = 10, we get two intersecting lines.
The region bounded by these two lines and the x and y axes is the feasible region for the given set of inequalities.
Polygon:
The feasible region is a polygon as it is bounded by the intersecting lines and the axes.
Answer:
Hence, the region represented by the given set of inequalities is a bounded polygon.
Explanation:
A polygon is a closed plane figure bounded by straight sides.
In the given set of inequalities, the region is bounded by the lines 2x + 3y = 18 and x + y = 10, and the x and y axes.
These lines are straight and the region is enclosed by them.
Bounded Region:
Hence, the region represented by the given set of inequalities is a bounded region.
Unbounded:
If any of the inequalities in the given set was unbounded, then the feasible region would have been unbounded.
However, all the given inequalities have upper bounds, and hence the feasible region is bounded.
Null Region:
If the given set of inequalities had no solution, then the feasible region would have been a null region.
However, in this case, there is a feasible region and hence the region represented by the given set of inequalities is not a null region.
Answer:
Hence, the region represented by the given set of inequalities is a bounded polygon and not unbounded or null.
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The region represented by the inequations 2x 3y ≤ 18, x y ≥ 10, x ...
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The region represented by the inequations 2x 3y ≤ 18, x y ≥ 10, x ≥ 0, y ≥ 0 is 1.unbounded 2. a polygon 3. bounded region 4. Null region?
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The region represented by the inequations 2x 3y ≤ 18, x y ≥ 10, x ≥ 0, y ≥ 0 is 1.unbounded 2. a polygon 3. bounded region 4. Null region? for Class 12 2024 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about The region represented by the inequations 2x 3y ≤ 18, x y ≥ 10, x ≥ 0, y ≥ 0 is 1.unbounded 2. a polygon 3. bounded region 4. Null region? covers all topics & solutions for Class 12 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The region represented by the inequations 2x 3y ≤ 18, x y ≥ 10, x ≥ 0, y ≥ 0 is 1.unbounded 2. a polygon 3. bounded region 4. Null region?.
The region represented by the inequations 2x 3y ≤ 18, x y ≥ 10, x ≥ 0, y ≥ 0 is 1.unbounded 2. a polygon 3. bounded region 4. Null region? for Class 12 2024 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about The region represented by the inequations 2x 3y ≤ 18, x y ≥ 10, x ≥ 0, y ≥ 0 is 1.unbounded 2. a polygon 3. bounded region 4. Null region? covers all topics & solutions for Class 12 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The region represented by the inequations 2x 3y ≤ 18, x y ≥ 10, x ≥ 0, y ≥ 0 is 1.unbounded 2. a polygon 3. bounded region 4. Null region?.
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