Solve each system of inequalities by graphing. 6. ) yleqslant x-4 ygt vert x-6vert 7. ) 2x+yleqslant 3 ygt vert x+3vert -2

To solve each system of inequalities by graphing, we need to graph each inequality on the same coordinate plane and find the region where all inequalities overlap.### Problem 6: 1. **Graph **: - This is a line with slope 1 and y-intercept -4. - The boundary line is . - Shade the region below this line (including the line itself).2. **Graph **: - This represents two lines: and \( y > -(x - 6) \). - For , the boundary line is . Shade above this line. - For \( y > -(x - 6) \), rewrite as . The boundary line is . Shade above this line.The solution region is where the shaded areas of both inequalities overlap.### Problem 7: 1. **Graph **: - This is a line with slope -2 and y-intercept 3. - The boundary line is . - Shade the region below this line (including the line itself).2. **Graph **: - This represents two lines: and \( y > -(x + 3) - 2 \). - Simplify to and . - For , the boundary line is . Shade above this line. - For , the boundary line is . Shade above this line.The solution region is where the shaded areas of both inequalities overlap.By graphing these inequalities on the same coordinate plane, you can visually identify the regions that satisfy all conditions in each system.