please see the attached question. thanks for your help! **Determining Graphically the Solution for the System of Inequalities**Consider the following system of inequalities:1. \(3x + 4y \geq 12\)2. \(2x - y \geq -2\)3. \(0 \leq y \leq 6\)4. \(x \geq 0\)To find the solution, follow these steps:1. **Graph each inequality individually on the coordinate plane:** - For the inequality \(3x + 4y \geq 12\): - First, convert it into an equation \(3x + 4y = 12\). - Graph the line \(3x + 4y = 12\). - Since the inequality is \(\geq\), shade the region above the line. - For the inequality \(2x - y \geq -2\): - Convert it into an equation \(2x - y = -2\). - Graph the line \(2x - y = -2\). - Since the inequality is \(\geq\), shade the region above the line. - For the inequality \(0 \leq y \leq 6\): - Graph the horizontal lines \(y = 0\) and \(y = 6\). - Shade the region between these two lines. - For the inequality \(x \geq 0\): - Graph the vertical line \(x = 0\). - Shade the region to the right of this line.2. **Determine the intersection of the shaded regions of all inequalities:** - The solution to the system of inequalities is the region where the shaded areas overlap.3. **Check the boundary conditions:** - Points on the boundary lines of each inequality should be tested if necessary to confirm that they satisfy the inequalities.By graphing these inequalities and finding their intersection, you visually demonstrate the solution set for the given system of inequalities.

Name: please see the attached question. thanks for your help! **Determining
Uploaded: 2024-03-20T07:07:37.000Z
Channel: Bartleby
Description: please see the attached question. thanks for your help! **Determining Graphically the Solution for the System of Inequalities**Consider the following system of inequalities:1. \(3x + 4y \geq 12\)2. \(2x - y \geq -2\)3. \(0 \leq y \leq 6\)4. \(x \geq