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Plotting an inequality in 3D region

Ideally I would like to plot a region in 3D space which is defined by a bunch of inequalities. For example let us consider the region $R$ defined by $ { (x,y, z): x <= 0 and y <= 0 and x+y <= z } $.

I am wondering what would be an easier way to do it.

With my limited knowledge I came up with these two approaches.

Approach 1 : Generate points in this region and plot them in 3D. Is there a way to extend the function in region_plot () that generates plot points for my needs?

Approach 2 : Concatenate implicit -3D plots of functions of the form $ x + y - (z+t) $, where $t$ is a small positive parameter, for different values of $t$. Then plot all these plot together.

I would appreciate any alternate way to do this or any improvements on these approaches.
Thank you for your time in advance.

Plotting an inequality in 3D region

Ideally I would like to plot a region in 3D space which is defined by a bunch of inequalities. For example let us consider the region $R$ defined by $ { (x,y, z): x <= 0 and y <= 0 and x+y <= z } $.

I am wondering what would be an easier way to do it.

With my limited knowledge I came up with these two approaches.

Approach 1 : Generate points in this region and plot them in 3D. Is there a way to extend the function in region_plot () that generates plot points for my needs?

Approach 2 : Concatenate implicit -3D plots of functions of the form $ x + y - (z+t) $, where $t$ is a small positive parameter, for different values of $t$. Then plot all these plot together.

I would appreciate any alternate way to do this or any improvements on these approaches.
Thank you for your time in advance.

Plotting an inequality in 3D region

Ideally I would like to plot a region in 3D space which is defined by a bunch of inequalities. For example let us consider the region $R$ defined by $ { (x,y, z): x <= 0 and & y <= 0 and x+y <= z } $.

I am wondering what would be an easier way to do it.

With my limited knowledge I came up with these two approaches.

Approach 1 : Generate points in this region and plot them in 3D. Is there a way to extend the function in region_plot () that generates plot points for my needs?

Approach 2 : Concatenate implicit -3D plots of functions of the form $ x + y - (z+t) $, where $t$ is a small positive parameter, for different values of $t$. Then plot all these plot together.

I would appreciate any alternate way to do this or any improvements on these approaches.
Thank you for your time in advance.

Plotting an inequality in 3D region

Ideally I would like to plot a region in 3D space which is defined by a bunch of inequalities. For example let us consider the region $R$ defined by $ { (x,y, z): x <= 0 & and y <= 0 and x+y <= z } $.

I am wondering what would be an easier way to do it.

With my limited knowledge I came up with these two approaches.

Approach 1 : Generate points in this region and plot them in 3D. Is there a way to extend the function in region_plot () that generates plot points for my needs?

Approach 2 : Concatenate implicit -3D plots of functions of the form $ x + y - (z+t) $, where $t$ is a small positive parameter, for different values of $t$. Then plot all these plot together.

I would appreciate any alternate way to do this or any improvements on these approaches.
Thank you for your time in advance.

Plotting an inequality in 3D region

Ideally I would like to plot a region in 3D space which is defined by a bunch of inequalities. For example let us consider the region $R$ defined by $ { (x,y, z): x <= 0 and y <= 0 and x+y <= z } $.

I am wondering what would be an easier way to do it.

With my limited knowledge I came up with these two approaches.

Approach 1 : Generate points in this region and plot them in 3D. Is there a way to extend the function in region_plot () that generates plot points for my needs?

Approach 2 : Concatenate implicit -3D plots of functions of the form $ x + y - (z+t) $, where $t$ is a small positive parameter, for different values of $t$. Then plot all these plot together. simultaneously.

I would appreciate any alternate way to do this or any improvements on these approaches.
Thank you for your time in advance.

click to hide/show revision 6
No.6 Revision

Plotting an inequality in 3D region

Ideally I would like to plot a region in 3D space which is defined by a bunch of inequalities. For example let us consider the region $R$ defined by $ { (x,y, z): x <= \le 0 \text{ and } y <= \le 0 \text{ and } x+y <= \le z } $.

I am wondering what would be an easier way to do it.

With my limited knowledge I came up with these two approaches.

Approach 1 : Generate points in this region and plot them in 3D. Is there a way to extend the function in region_plot () that generates plot points for my needs?

Approach 2 : Concatenate implicit -3D plots of functions of the form $ x + y - (z+t) $, where $t$ is a small positive parameter, for different values of $t$. Then plot all these simultaneously.

I would appreciate any alternate way to do this or any improvements on these approaches.
Thank you for your time in advance.

click to hide/show revision 7
No.7 Revision

Plotting an inequality in 3D region

Ideally I would like to plot a region in 3D space which is defined by a bunch of inequalities. For example let us consider the region $R$ defined by $ $$ { (x,y, z): x \le 0 \text{ and } y \le 0 \text{ and } x+y \le z } $. $$.

I am wondering what would be an easier way to do it.

With my limited knowledge I came up with these two approaches.

Approach 1 : Generate points in this region and plot them in 3D. Is there a way to extend the function in region_plot () that generates plot points for my needs?

Approach 2 : Concatenate implicit -3D plots of functions of the form $ x + y - (z+t) $, where $t$ is a small positive parameter, for different values of $t$. Then plot all these simultaneously.

I would appreciate any alternate way to do this or any improvements on these approaches.
Thank you for your time in advance.

click to hide/show revision 8
No.8 Revision

Plotting an inequality in 3D region

Ideally I would like to plot a region in 3D space which is defined by a bunch of inequalities. For example let us consider the region $R$ defined by $$ { (x,y, z): x \le 0 \text{ and } y \le 0 \text{ and } x+y \le z } $$.

I am wondering what would be an easier way to do it.

With my limited knowledge I came up with these two approaches.

Approach 1 : Generate points in this region and plot them in 3D. Is there a way to extend the function in region_plot () that generates plot points for my needs?

Approach 2 : Concatenate implicit -3D plots of functions of the form $ x + y - (z+t) $, where $t$ is a small positive parameter, for different values of $t$. Then plot all these simultaneously.

I would appreciate any alternate way to do this or any improvements on these approaches.
Thank you for your time in advance.