Illustration the set C={(x, y) in (R^2)_{+}, x >= x' > 0, y >= y' > 0}

[Godmax1]

Hello, I have a math test in a few days and I'm having trouble on problems that require me to illustrate the sets. The textbook does not supply illustrations in the answer sheet. I was wondering if somebody could post an illustration of question 2.

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2. The consumption of a consumer is

. . . . .$\displaystyle C\, =\, \left\{(x,\, y)\, \in\, \mathbb{R}_{+}^2\, :\, x\, \geq\, x'\, >\, 0,\, y\, \geq\, y'\, >\, 0\right\}$

Illustrate this set. Is it closed? bounded? convex? How would you interpret x' and y'?

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[Godmax1]

Illustrate this set problem.

Hello, my textbook requires me to illustrate the sets, but does not provide the illustration in the answer sheet. I was wondering if somebody could post their illustration of this set in order for me to have comparison and decide if I'm going about this illustration correctly or not.

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2. The consumption of a consumer is

. . . . .$\displaystyle C\, =\, \left\{(x,\, y)\, \in\, \mathbb{R}_{+}^2\, :\, x\, \geq\, x'\, >\, 0,\, y\, \geq\, y'\, >\, 0\right\}$

Illustrate this set. Is it closed? bounded? convex? How would you interpret x' and y'?

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[stapel]

Hello, I have a math test in a few days and I'm having trouble on problems that require me to illustrate the sets. The textbook does not supply illustrations in the answer sheet. I was wondering if somebody could post an illustration of question 2.

---

2. The consumption of a consumer is

. . . . .$\displaystyle C\, =\, \left\{(x,\, y)\, \in\, \mathbb{R}_{+}^2\, :\, x\, \geq\, x'\, >\, 0,\, y\, \geq\, y'\, >\, 0\right\}$

Illustrate this set. Is it closed? bounded? convex? How would you interpret x' and y'?

You have two linear inequalities. Their boundaries form two straight lines. The resulting region is the intersection of the solutions for the two inequalities. Shade in the graph, like you learned back in algebra. (here)