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y>-2, x>0, 2x+y<4

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Answer to a math question y>-2, x>0, 2x+y<4

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Hank
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105 Answers
Solution:
1. Given constraints:
- y > -2
- x > 0
- 2x + y < 4

2. Analyze the constraints:
- The inequality y > -2 represents the region above the horizontal line y = -2.
- The inequality x > 0 represents the region to the right of the vertical line x = 0.
- The inequality 2x + y < 4 can be rearranged to y < -2x + 4, representing the region below the line y = -2x + 4.

3. Graph the lines and identify the solution region:
- The intersection of these regions in the coordinate plane forms the valid solution region.
- The solution region is above the line y = -2, to the right of the line x = 0, and below the line y = -2x + 4.

4. Conclusion: The feasible region is in the first quadrant, bounded by the lines y = -2 and y = -2x + 4 when x > 0.

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